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All Common Core: High School - Number and Quantity Resources

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Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Which of the following matrices represents the equations, 1:10x-4y=7 , and 2:-7x+5y=-10 ?

$\begin{bmatrix} 10 & 5 &-10 \\ -7& -4& 7 \end{bmatrix}$

$\begin{bmatrix} -10 & 5 &7 \\ -7& -4& 10 \end{bmatrix}$

$\begin{bmatrix} 10 & 5 &7 \\ -7& -4& -10 \end{bmatrix}$

$\begin{bmatrix} 10 & -4 &7 \\ -7& 5& -10 \end{bmatrix}$

$\begin{bmatrix} 10 & -7 &7 \\ -7& 5& -10 \end{bmatrix}$

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Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Which of the following matrices represents the equations, 1:10x-4y=7 , and 2:-7x+5y=-10 ?

Your answer:

$\begin{bmatrix} 10 & 5 &-10 \\ -7& -4& 7 \end{bmatrix}$

Your answer:

$\begin{bmatrix} -10 & 5 &7 \\ -7& -4& 10 \end{bmatrix}$

Your answer:

$\begin{bmatrix} 10 & 5 &7 \\ -7& -4& -10 \end{bmatrix}$

Your answer:

$\begin{bmatrix} 10 & -7 &7 \\ -7& 5& -10 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 10 & -4 &7 \\ -7& 5& -10 \end{bmatrix}$

Explanation:

To do this problem, all we need to do is put the coefficients for each variable into a matrix. The first column will be x values, 2nd column will be y values, and 3rd column will be what the equations are equal to.

It will look like this

$\begin{bmatrix} x_1 & y_1 &c_1 \\ x_2& y_2& c_2 \end{bmatrix}$

where x_1,y_1 , x_2,y_2 are coefficients of and in the first and second equation respectively. c_1, c_2 refer to what the equations are equal to. So after placing the coefficients and what the equations are equal to in a matrix, it will look like the following.

$\begin{bmatrix} 10 & -4 &7 \\ -7& 5& -10 \end{bmatrix}$

Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Which of the following matrices represents the equations, 1:-20x-8y=9 , and 2:-13x+18y=14 ?

$\begin{bmatrix} 20 & -18 &9 \\ -13& 18& 14 \end{bmatrix}$

$\begin{bmatrix} -20 & -8 &9 \\ -13& 18& 14 \end{bmatrix}$

$\begin{bmatrix} -20 & -9 &18 \\ -13& 8& 14 \end{bmatrix}$

$\begin{bmatrix} 20 & -8 &9 \\ 13& 18& 14 \end{bmatrix}$

$\begin{bmatrix} -20 & -8 &9 \\ -18& 13& 14 \end{bmatrix}$

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Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Which of the following matrices represents the equations, 1:-20x-8y=9 , and 2:-13x+18y=14 ?

Your answer:

$\begin{bmatrix} 20 & -18 &9 \\ -13& 18& 14 \end{bmatrix}$

Your answer:

$\begin{bmatrix} -20 & -9 &18 \\ -13& 8& 14 \end{bmatrix}$

Your answer:

$\begin{bmatrix} 20 & -8 &9 \\ 13& 18& 14 \end{bmatrix}$

Your answer:

$\begin{bmatrix} -20 & -8 &9 \\ -18& 13& 14 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} -20 & -8 &9 \\ -13& 18& 14 \end{bmatrix}$

Explanation:

It will look like this

$\begin{bmatrix} x_1 & y_1 &c_1 \\ x_2& y_2& c_2 \end{bmatrix}$

$\begin{bmatrix} -20 & -8 &9 \\ -13& 18& 14 \end{bmatrix}$

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All Common Core: High School - Number and Quantity Resources

Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

Flashcards: Use Matrices to Represent and Manipulate Data: CCSS.Math.Content.HSN-VM.C.6

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