Determine if Linear 13y=1/3x+5

$13 y = \frac{1}{3} x + 5$

Step 1

Divide each term in $13 y = \frac{1}{3} x + 5$ by $13$ and simplify.

Divide each term in $13 y = \frac{1}{3} x + 5$ by $13$ .

$\frac{13 y}{13} = \frac{\frac{1}{3} x}{13} + \frac{5}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 y}{13} = \frac{\frac{1}{3} x}{13} + \frac{5}{13}$

Divide $y$ by $1$ .

$y = \frac{\frac{1}{3} x}{13} + \frac{5}{13}$

Simplify the right side.

Simplify each term.

Combine $\frac{1}{3}$ and $x$ .

$y = \frac{\frac{x}{3}}{13} + \frac{5}{13}$

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{x}{3} \cdot \frac{1}{13} + \frac{5}{13}$

Multiply $\frac{x}{3} \cdot \frac{1}{13}$ .

Multiply $\frac{x}{3}$ by $\frac{1}{13}$ .

$y = \frac{x}{3 \cdot 13} + \frac{5}{13}$

Multiply $3$ by $13$ .

$y = \frac{x}{39} + \frac{5}{13}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear

Determine if Linear 13y=1/3x+5

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