Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 23, 2024

Solve the linear equation $\frac{1}{7} y = 3$ for $y$ . Find the values of the given expressions.

STEP 1

Assumptions
1. We are given the equation $\frac{1}{7} y = 3$ .
2. We need to solve for $y$ .

STEP 2

To isolate $y$ , we need to multiply both sides of the equation by 7, which is the reciprocal of $\frac{1}{7}$ .
$7 \times \frac{1}{7} y = 7 \times 3$

STEP 3

Simplify the left side of the equation by canceling out the 7 in the denominator with the 7 we are multiplying by.
$1 \times y = 7 \times 3$

STEP 4

Simplify the right side of the equation by multiplying 7 and 3.
$y = 7 \times 3$

STEP 5

Calculate the value of $y$ .
$y = 21$
The solution to the equation $\frac{1}{7} y = 3$ is $y = 21$ .

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