Solve System of Equations Using Substitution: CCSS.Math.Content.HSA-REI.C.5 - Algebra

Card 0 of 48

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{14 y}{3} + \frac{95}{3}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{532 y}{3} + \frac{3610}{3} + 13 y = 28$

Now we solve for $\uptext{y}$ .

$\frac{571 y}{3} = -1175.3333333333333$

Now we divide by $\frac{571}{3}$

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{21 y}{8} - \frac{47}{8}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{147 y}{4} - \frac{329}{4} + - 26 y = -68$

Now we solve for $\uptext{y}$ .

$- \frac{251 y}{4} = 14.25$

Now we divide by $- \frac{251}{4}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{11 y}{16} - \frac{61}{32}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{429 y}{16} - \frac{2379}{32} + - 34 y = 53$

Now we solve for $\uptext{y}$ .

$- \frac{115 y}{16} = 127.34375$

Now we divide by $- \frac{115}{16}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{y}{2} + \frac{49}{11}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- 9 y + \frac{882}{11} + 46 y = -57$

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add on each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{45 y}{2} - \frac{15}{2}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{1755 y}{2} - \frac{585}{2} + - 22 y = 64$

Now we solve for $\uptext{y}$ .

$- \frac{1799 y}{2} = 356.5$

Now we divide by $- \frac{1799}{2}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add -17.8349082823791 to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{10 y}{49} - \frac{64}{49}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{80 y}{49} - \frac{512}{49} + 30 y = 3$

Now we solve for $\uptext{y}$ .

$\frac{1390 y}{49} = 13.448979591836734$

Now we divide by $\frac{1390}{49}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{29 y}{31} - \frac{83}{31}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{1247 y}{31} + \frac{3569}{31} + - 12 y = 8$

Now we solve for $\uptext{y}$ .

$\frac{875 y}{31} = -107.12903225806451$

Now we divide by $\frac{875}{31}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{5 y}{3} - \frac{40}{3}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{10 y}{29} - \frac{34}{29}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{230 y}{29} - \frac{782}{29} + 14 y = 55$

Now we solve for $\uptext{y}$ .

$\frac{176 y}{29} = 81.9655172413793$

Now we divide by $\frac{176}{29}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{17 y}{37} - \frac{52}{37}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{391 y}{37} - \frac{1196}{37} + - 28 y = 22$

Now we solve for $\uptext{y}$ .

$- \frac{645 y}{37} = 54.32432432432432$

Now we divide by $- \frac{645}{37}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{14 y}{3} + \frac{95}{3}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{532 y}{3} + \frac{3610}{3} + 13 y = 28$

Now we solve for $\uptext{y}$ .

$\frac{571 y}{3} = -1175.3333333333333$

Now we divide by $\frac{571}{3}$

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{21 y}{8} - \frac{47}{8}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{147 y}{4} - \frac{329}{4} + - 26 y = -68$

Now we solve for $\uptext{y}$ .

$- \frac{251 y}{4} = 14.25$

Now we divide by $- \frac{251}{4}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{y}{2} + \frac{49}{11}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- 9 y + \frac{882}{11} + 46 y = -57$

Now we solve for $\uptext{y}$ .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add on each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{45 y}{2} - \frac{15}{2}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{1755 y}{2} - \frac{585}{2} + - 22 y = 64$

Now we solve for $\uptext{y}$ .

$- \frac{1799 y}{2} = 356.5$

Now we divide by $- \frac{1799}{2}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add -17.8349082823791 to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = \frac{11 y}{16} - \frac{61}{32}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$\frac{429 y}{16} - \frac{2379}{32} + - 34 y = 53$

Now we solve for $\uptext{y}$ .

$- \frac{115 y}{16} = 127.34375$

Now we divide by $- \frac{115}{16}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we add to each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

Question

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

Answer

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

Now we subtract from each side.

Now we divide by

$x = - \frac{10 y}{49} - \frac{64}{49}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

$- \frac{80 y}{49} - \frac{512}{49} + 30 y = 3$

Now we solve for $\uptext{y}$ .

$\frac{1390 y}{49} = 13.448979591836734$

Now we divide by $\frac{1390}{49}$ .

Now round to the nearest hundredth.

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

Now we subtract from each side.

Now we divide by

Now round to the nearest hundredth.

Compare your answer with the correct one above

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