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Q3

Expert-verifiedFound in: Page 41

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

Justify each step.

$\frac{z+7}{3}=-11$

$z+7=-33$

$z=-40$

$\frac{z+7}{3}=-11$ Given

$z+7=-33$ Multiplication property of equality

$z=-40$ Subtraction property of equality

If $a=b$, then $ca=cb$.

Multiply each side of $\frac{z+7}{3}=-11$ by 3 and simplify.

$\begin{array}{c}3\times \frac{z+7}{3}=3\times \left(-11\right)\\ z+7=-33\end{array}$

If $a=b$ and $c=d$, then $a-c=b-d$.

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

$\begin{array}{c}z+7-7=-33-7\\ z=-40\end{array}$

Therefore, the value of *z* is $-40$.

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