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Chapter 6: Q7. (page 331)

Solve each equation or formula for the variable specified.

2x+4y=12, for x

Short Answer

Expert verified

The required equation is represented by x=6鈭�2y.

Step by step solution

01

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.

02

Step 2. Take the help of the obtained method.

Perform subtraction of4y on both sides of the provided equation.

role="math" localid="1647499906150" 2x+4y鈭�4y=12鈭�4y2x=12鈭�4y

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

role="math" localid="1647499947583" 2x2=12鈭�4y2x=12鈭�4y2x=6鈭�2y

03

Step 3. Write the conclusion.

The obtained isx=6鈭�2y so it is required equation.

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Most popular questions from this chapter

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

2x+y=鈭�45x+3y=鈭�6

Shelly has \(175to shop for jeans and sweaters. Each pair of jeans cost \)25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweaters Shelly bought.

Solve each equation or formula for the variable specified.

x=3y鈭�9, for y

Determine the best method to solve each system of equations. Then solve the system.

3x+4y=262x+3y=19

Use elimination to solve each system of equations.

9x鈭�24y=鈭�63x+4y=10
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