Solving for the Variable
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GED Math › Solving for the Variable
Solve:
Explanation
Step 1: Move the constant from the left to the right:
Step 2: Simplify:
Step 3: Divide by the coefficient on the left hand side to both sides of the equation:
Simplify:
Step 4: Take the square root of both sides:
Simplify:
Solve:
Explanation
Add six on both sides.
Divide by 7 on both sides.
The answer is:
Solve:
Explanation
To isolate the x-variable, we will need to multiply by one-third on both sides.
The answer is:
Solve for :
Explanation
In order to solve for , we will need the equation to be in terms of
, and isolate the variable
.
Solve by grouping the terms together. Subtract
on both sides.
Divide by negative five on both sides.
The answer is:
Which of the following is the solution set of the inequality ?
Explanation
Solve using the properties of inequality, as follows:
Note that division by a negative number reverses the symbols.
In interval form, this is .
Solve for :
Explanation
If , then
Explanation
To solve this you must find the value of .
The first equation states that . This is a mult-step equation. The first step is to remove the constant, 6, from the equation; this is done by using the inverse operation, which means you would subtract the 6 from both sides of the equation.
Then divide both sides by the 7 in order to isolate the variable.
Then plug the 3 into the second equation for the value of x.
Give the solution set:
Explanation
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
Solve for the variable:
Explanation
Subtract from both sides.
Add 3 on both sides.
The answer is:
Which of the following makes this equation true:
Explanation
To answer this question, we will solve for y. We get