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Chapter 1: Q. 13 (page 30)

Solve each equation. Check your solution

c-2=2c-10

Short Answer

Expert verified

The solutions of the equations is8.

Step by step solution

01

Step 1. Order for solving the equation

To evaluate any equation involving more than one operation, follow the below order operation

  • First assume the case one in which the equation be a=b.
  • Secondly assume the case two in which the equation be a=-b
  • Solve the equations of both the cases to find the value of algebraic expression
  • After finding the two values of algebraic expression, put the value in the original equation and check the solution on the left and right sides
02

Step 2. Solve the equations

Case1

a=bc鈭�2=2c鈭�102c鈭�c=10鈭�2=8c=8

Case2

a=鈭�bc鈭�2=鈭�2c+102c+c=10+2=123c=12c=4

03

Step 3. Check the solutions

Put the value of c=8 in equationc-2=2c-10

c鈭�2=2c鈭�108鈭�2=2脳8鈭�10=6

Put the value of c=4 in equation c-2=2c-10

c鈭�2=2c鈭�104鈭�2=24鈭�102=鈭�2

Hence the solution is never true.

The solution is 8. Hence the solution set is (8).

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