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Chapter 2: Q. 2.143 (page 202)

Solve:7x-3=3x+7

Short Answer

Expert verified

The required solutions arex1=-25,鈥�x2=52.

Step by step solution

01

Step 1. Given Information.

We have:

7x-3=3x+7

02

Step 2. Write the equivalent equations. 

We have:

7x-3=3x+7

Write the inequality as7x-3=-3x+7or7x-3=3x+7.

03

Step 3. Solve each equation. 

Start with first equation:

7x-3=-3x+7

7x-3=-3x-77x-3+3=-3x-7+37x=-3x-47x+3x=-3x-4+3x10x=-410x10=-410x=-25

Now, solve the second equation:

7x-3=3x+77x-3=3x+77x-3+3=3x+7+37x=3x+107x-3x=3x+10-3x4x=104x4=104x=52

04

Step 4. Check the each solution.

Substitute -25and 52into the original inequality:

7x-3=3x+7

At x=-25:

7-25-3=3-25+7295=295

At x=52:

752-3=352+7292=292

Hence, verified.

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