Question

Solve each proportion.

Answer 1

QUESTION 3

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Step 1 ) Multiply both sides by y.

$\displaystyle\frac{3}{y} = \frac{5}{2}$

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$\displaystyle\ 3 = \frac{5}{2} y$

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$\displaystyle\ 3 = \frac{5y}{2}$

Step 2 ) Multiply both sides by 2 and simplify.

6 = 5y

Step 3 ) Divide both sides by y.

$\displaystyle\frac{6}{5} = \frac{5y}{5}$

$\displaystyle\frac{6}{5} = y$

Step 4 ) Switch equation sides.

$\displaystyle\frac{6}{5} = y$

$\displaystyle\ y = \frac{6}{5}$

The proportion can be simplified no farther, so the final answer is...

$\displaystyle\ y = \frac{6}{5}$

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QUESTION 4

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Step 1 ) Multiply both sides by 5.

$\displaystyle\frac{7}{2} = \frac{k}{5}$

$\displaystyle\frac{35}{2} = k$

Step 2 ) Switch equation sides.

$\displaystyle\frac{35}{2} = k$

$\displaystyle\ k = \frac{35}{2}$

The proportion can be simplified no farther, so the final answer is...

$\displaystyle\ k = \frac{35}{2}$

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- Marlon Nunez