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Chapter 2: Q. 404 (page 274)

In the following exercises, solve

Solve the formula 2x+3y=12for y鈸� when x = 3鈸� in general

Short Answer

Expert verified

a.Thesimplifiedvalueisy=2b.Ingeneraly=12鈭�2x3

Step by step solution

01

Step 1. Given information

The given equation is 2x+3y=12

We have to solve the given equation for y鈸� when x = 3鈸� in general

02

Step 2. Explanation

Solve:2x+3y=12鈬�2(3)+3y=12(Substitute)鈬�6+3y=12(Simplify)鈬�6鈭�6+3y=12鈭�6(Subtract6toisolatetheyterm)鈬�3y=6(Simplify)鈬�3y3=63(Dvide)鈬�y=2(Simplify)Thesimplifiedvalueisy=2

03

Step 3. Part b. Explanation

Ingeneral2x+3y=12鈬�2x鈭�2x+3y=12鈭�2x(Subtracttoisolatetheyterm)鈬�3y3=12鈭�2x3(Dvide)鈬�y=12鈭�2x3(Simplify)Ingeneraly=12鈭�2x3

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Most popular questions from this chapter

In the following exercises, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

鈭�809=15y

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

鈭�u=15

Solve: 18鈭�27=15c鈭�9c鈭�3c.

Solve:x+16=鈭�34.

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

m鈭�12=45
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