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Chapter 2: Q73. (page 62)

Solve each equation. Check your solution.

13x-4=1

Short Answer

Expert verified

The solution of given equation is x=15.

Step by step solution

01

–Properties of equality.

According to the addition property of equality, if a=b, then a+c=b+c, where a,b,c are real values.

According to the multiplication property of equality, if a=b, then ac=bc, where a,b,c are real values.

02

– Given information.

The given equation is:

13x-4=1

03

– Solve the given equation.

The given equation is:

13x-4=1

Add 4on both sides of the above equation.

13x鈭�4+4=1+413x=5

Multiply both sides by 3.

3脳13x=3脳5x=15

Thus, the solution of given equation is x=15.

04

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for x=15then it is the correct solution.

Substitute x=15in the given equation.

1315鈭�4=15鈭�4=11=1

Left hand side is equal to the right hand side. Thus the solution x=15 is correct.

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