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Chapter 3: Q37. (page 133)

Solve the equation. Check your solution.

8a-2a+5=2a-1

Short Answer

Expert verified

The solution for the equation 8a-2a+5=2a-1 is a=2.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

8a鈭�2a+5=2a鈭�18a鈭�2a鈭�10=2a鈭�2Simplify6a鈭�10=2a鈭�26a鈭�10鈭�2a=2a鈭�2a鈭�2Subtract2afrombothsides4a鈭�10=鈭�2Simplify4a鈭�10+2=鈭�2+2Add2tobothsides4a鈭�8=0Simplify

02

– Solve for a

Now, divide both sides of the equation by 4.

4a4=84a=2

Therefore, the solution of the equation is a=2.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of a.

8a-2a+5=2a-1

Now, substitute a=2 and check the result.

8脳2鈭�22+5=22鈭�116鈭�27=2脳116鈭�14=22=2

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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