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Chapter 2: Q3 (page 41)

Justify each step.

z+73=鈭�11

z+7=鈭�33

z=鈭�40

Short Answer

Expert verified

z+73=鈭�11Given

z+7=鈭�33Multiplication property of equality

z=鈭�40Subtraction property of equality

Step by step solution

01

Step 1. Apply the multiplication property of equality.

If a=b, then ca=cb.

02

Step 2. Description of step.

Multiply each side of z+73=鈭�11by 3 and simplify.

3脳z+73=3脳鈭�11z+7=鈭�33

03

Step 3. Apply the subtraction property of equality.

If a=band c=d, then a鈭�c=b鈭�d.

04

Step 4. Description of step.

Subtract 7 from each side of the equation obtained in step 2 to find the value of z.

z+7鈭�7=鈭�33鈭�7z=鈭�40

Therefore, the value of z is -40.

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