Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 17, 2024

Solve for $x$ in the equation $7=\frac{x}{3}$ .

STEP 1

Assumptions
1. We have the equation $7 = \frac{x}{3}$ .
2. We need to solve for $x$ .

STEP 2

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by multiplying both sides of the equation by the denominator of the fraction which is 3.
$3 \times 7 = 3 \times \frac{x}{3}$

STEP 3

Perform the multiplication on the left side of the equation.
$21 = 3 \times \frac{x}{3}$

STEP 4

On the right side of the equation, the 3 in the numerator and the 3 in the denominator cancel each other out, leaving us with $x$ .
$21 = x$

STEP 5

We have now isolated $x$ and found its value.
$x = 21$
The solution to the equation $7 = \frac{x}{3}$ is $x = 21$ .

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