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Chapter 1: Q4 (page 10)

Find the value of the variable.

7-z=13

Short Answer

Expert verified

The value of the variable is z=-5.

Step by step solution

01

Step 1. Subtract 7.

To find the value of variable in the equation 7-z=13, subtract 7 from both sides of the equation.

7−z−7=13−7

02

Step 2. Collect like terms.

Remove all the brackets and collect the like terms.

7−7−z=13−7

03

Step 3. Simplify the equation.

To further simplify, combine the like terms.

7−7−z=13−70−z=5−z=5

04

Step 4. Multiply by -1.

In order to obtain z, multiply the equation -z=5from both sides with -1.

−z×−1=5×−1z=−5

05

Step 5. Verify the value.

In order to verify the value of z, substitute -5 for z into the equation 7-z=13.

7−−5=137+5=1313=13True

Hence, the value of the variable is z=-5.

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