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Chapter 3: Q31. (page 127)

Solve the equation. Check your solution.-12=-2h+0.2(20-6h)

Short Answer

Expert verified

The solution for the equation −12=−2h+0.2(20−6h)ish=5 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

−12=−2h+0.2(20−6h)−12=−2h+4−1.2h[distributiveproperty]−12=−3.2h+4[combineliketerms]−12−4=−3.2h+4−4[subtract4toeachside]−16=−3.2h

02

– Solve for h

Now, divide both sides of the equation by -3.2.

−16÷(−3.2)=−3.2h÷(−3.2)5=hh=5

Therefore, the solution of the equation ish=5.

03

– Check the solution 

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

−12=−2h+0.2(20−6h)

Now, substituteh=5 and check the result.

−12=−2×5+0.2(20−6×5)−12=−10+0.2(20−30)−12=−10+0.2(−10)−12=−10−2−12=−12

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

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