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Chapter 3: Q. 8E (page 133)

Solve the equation. Check your solution.

-5a+6=6a-38

Short Answer

Expert verified

The solution for the equation 鈭�5a+6=6a鈭�38isa=4 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�5a+6=6a鈭�38鈭�5a+6+5a=6a鈭�38+5a[Add5aoneachside.]6=11a鈭�38[Simplify.]6+38=11a鈭�38+38[Add38oneachside.]44=11a[Simplify.]

02

– Solve for a

Now, divide both sides of the equation by 11.

4411=11a11a=4

Therefore, the solution of the equation is a=4.

03

– Check the solution 

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

鈭�5a+6=6a鈭�38

Now, substitutea=4 and check the result.

鈭�5(4)+6=6(4)鈭�38鈭�20+6=24鈭�38鈭�14=鈭�14

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

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