Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 14, 2023

Solve for y in the equation $\frac{6}{5}=\frac{18}{y}$ .

STEP 1

Assumptions
1. We have a proportion: $\frac{6}{5}=\frac{18}{y}$
2. We need to solve for $y$ .

STEP 2

To solve for $y$ , we can cross-multiply the terms in the proportion.
$6 \cdot y = 5 \cdot 18$

STEP 3

Now, perform the multiplication on both sides of the equation.
$6y = 90$

STEP 4

To isolate $y$ , divide both sides of the equation by 6.
$\frac{6y}{6} = \frac{90}{6}$

STEP 5

Simplify both sides of the equation to find the value of $y$ .
$y = 15$
The value of $y$ is 15.

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