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Chapter 1: Q20. (page 51)

Solve each equation. Check your solution.

2x-7-x-5=0

Short Answer

Expert verified

The solution of the given equation is 2.

Step by step solution

01

– Description of step.

Expand the parentheses on the left-hand side of the given equation.

2x-7-x+5=0

02

– Description of step.

Add 7 on both the sides of the equation in step 1.

2x鈭�7鈭�x+5+7=0+72x鈭�x+5=7
03

– Description of step.

Subtract 5 from both the sides of the equation in step 2.

2x鈭�x+5鈭�5=7鈭�5x=2
04

– Description of step.

To check whether the obtained value of x is the solution of given equation, substitute 2 for x into 2x-7-x-5=0and simplify.

2鈰�2鈭�7鈭�2鈭�5=04鈭�7鈭�2+5=?04鈭�9+5=?09鈭�9=?00=0

Therefore, the solution of the given equation is 2.

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