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Q7.

Expert-verified

Algebra 1

Found in: Page 331

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Solve each equation or formula for the variable specified.

$2 x + 4 y = 12$ , for x

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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

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

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

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

Step 3. Write the conclusion.

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

Most popular questions for Math Textbooks

Use an augmented matrix to solve each system of equations.

$\begin{array}{l} x - y = 5 \\ 3 x + 3 y = 3 \end{array}$

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

$\begin{array}{l} - 3 x + y = - 3 \\ y = x - 3 \end{array}$

The cost of two meals at a restaurant is shown in the table below.

Meal	Total Cost
$3 t a \cos$ , $2 b u r r i t o s$	$$ 7.40$
$4 t a \cos$ , $1 b u r r i t o s$	$$ 6.45$

a. Define variables to represent the cost of a taco and the cost of a burrito.

b. Write a system of equations to find the cost of a single taco and a single burrito.

c. Solve the systems of equations, and explain what the solution means.

d. How much would a customer pay for $2 t a \cos$ and $2 b u r r i t o s$ ?

A home goods store received $$ 881$ from the sale of 4 table saws and 9 electric drills. If the receipts from the saws exceeded the receipts from the drills by $$ 71$ , what is the price of an electric drill?

F $$ 45$ G $$ 59$ H $$ 108$ J $$ 119$

Use elimination method to solve the given system of equation.

$\begin{matrix} x + y = 8 \\ x - 3 y = - 4 \end{matrix}$

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