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Chapter 3: Q. 16E (page 127)

Solve the equation. Check your solution.

-2z+11=6

Short Answer

Expert verified

The solution for the equation鈭�2z+11=6 isz=鈭�14 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�2(z+11)=6鈭�2z鈭�22=6鈭�2z鈭�22+22=6+22鈭�2z=282z=鈭�28

02

– Solve for z

Now, divide both sides of the equation by 2.

2z2=鈭�282z=鈭�14

Therefore, the solution of the equation is z=鈭�14.

03

– Check the solution 

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

鈭�2z+11=6

Now, substitute z=鈭�14and check the result.

鈭�2鈭�14+11=6鈭�2鈭�3=66=6

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

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