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Q3

Expert-verified
Geometry
Found in: Page 41
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

Justify each step.

z+73=11

z+7=33

z=40

z+73=11 Given

z+7=33 Multiplication property of equality

z=40 Subtraction property of equality

See the step by step solution

Step by Step Solution

Step 1. Apply the multiplication property of equality.

If a=b, then ca=cb.

Step 2. Description of step.

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

3×z+73=3×11z+7=33

Step 3. Apply the subtraction property of equality.

If a=b and c=d, then ac=bd.

Step 4. Description of step.

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

z+77=337 z=40

Therefore, the value of z is -40.

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