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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 −5a+6=6a−38isa=4 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

−5a+6=6a−38−5a+6+5a=6a−38+5a[Add5aoneachside.]6=11a−38[Simplify.]6+38=11a−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.

−5a+6=6a−38

Now, substitutea=4 and check the result.

−5(4)+6=6(4)−38−20+6=24−38−14=−14

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

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Most popular questions from this chapter

Geometry The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.

  1. Estimate Without doing any calculations, estimate which figure has the greater side length. Explain your choice.
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The perimeter of a rectangular photograph is 22 inches. The length of the photograph is 1 inch more than the width. What are the dimensions of the photograph?

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Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car’s trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

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