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Chapter 3: Q36. (page 133)

Solve the equation. Check your solution.

8z+4=513+z

Short Answer

Expert verified

The solution for the equation 8z+4=513+z is z=11.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

8z+4=513+z8z+32=65+5zSimplify8z鈭�5z+32=65+5z鈭�5zSubtract5zfrombothsides3z+32=65+0Simplify3z+32鈭�32=65鈭�32Subtract32frombothsides3z+0=33Simplify

02

– Solve for z

Now, divide both sides of the equation by 3.

3z3=333z=11

Therefore, the solution of the equation is z=11.

03

– Check the solution 

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

8z+4=513+z

Now, substitute z=11 and check the result.

811+4=513+11815=524120=120

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

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