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Chapter 3: Q. 5E (page 133)

Solve the equation. Check your solution.

15-4x=42-7x

Short Answer

Expert verified

The solution for the equation15−4x=42−7x isx=9 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

15−4x=42−7x15−4x+7x=42−7x+7x[Add7xoneachside.]15+3x=42[Simplify.]15−15+3x=42−15[Subtract15fromeachside.]3x=27[Simplify.]

02

– Solve for x

Now, divide both sides of the equation by 3.

3x3=273x=9

Therefore, the solution of the equation is x=9.

03

– Check the solution 

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

15−4x=42−7x

Now, substitute x=9and check the result.

15−4(9)=42−7(9)15−36=42−63−21=−21

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

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