Finite Math Examples

$5 x - 3 y = 18$

Step 1

Solve the equation for $y$ .

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Step 1.1

Subtract $5 x$ from both sides of the equation.

$- 3 y = 18 - 5 x$

Step 1.2

Divide each term in $- 3 y = 18 - 5 x$ by $- 3$ and simplify.

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Step 1.2.1

Divide each term in $- 3 y = 18 - 5 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{18}{- 3} + \frac{- 5 x}{- 3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{18}{- 3} + \frac{- 5 x}{- 3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{18}{- 3} + \frac{- 5 x}{- 3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Divide $18$ by $- 3$ .

$y = - 6 + \frac{- 5 x}{- 3}$

Step 1.2.3.1.2

Dividing two negative values results in a positive value.

$y = - 6 + \frac{5 x}{3}$

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