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Q7.

Expert-verified
Found in: Page 331

### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

# Solve each equation or formula for the variable specified. $2x+4y=12$, for x

The required equation is represented by $x=6-2y$.

See the step by step solution

## Step 1. Determine the method that can be used.

Isolation of x on any side of the equation will represent the required equation and to get this, perform some operations on the provided equation.

## Step 2. Take the help of the obtained method.

Perform subtraction of $4y$ on both sides of the provided equation.

role="math" localid="1647499906150" $\begin{array}{c}2x+4y-4y=12-4y\\ 2x=12-4y\end{array}$

Perform division of 2 on both sides of the obtained equation.

role="math" localid="1647499947583" $\begin{array}{c}\frac{2x}{2}=\frac{12-4y}{2}\\ x=\frac{12-4y}{2}\\ x=6-2y\end{array}$

## Step 3. Write the conclusion.

The obtained is $x=6-2y$ so it is required equation.

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