Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 11, 2024

Solve for $y$ in $3y=57$ . Simplify the solution to $y=19$ .

STEP 1

Assumptions
1. We are given the equation $3y = 57$ .
2. We need to solve for the variable $y$ .
3. The multiplicative property of equality states that if you multiply or divide both sides of an equation by the same nonzero number, the two sides remain equal.

STEP 2

To isolate $y$ , we need to divide both sides of the equation by the coefficient of $y$ , which is 3.
$\frac{3y}{3} = \frac{57}{3}$

STEP 3

Perform the division on both sides.
$y = \frac{57}{3}$

STEP 4

Calculate the result of the division to find the value of $y$ .
$y = 19$
The solution to the equation $3y = 57$ is $y = 19$ .

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