Finite Math Examples

$z = 5 x + 6 y$

Step 1

Solve the equation for $y$ .

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Step 1.1

Rewrite the equation as $5 x + 6 y = z$ .

$5 x + 6 y = z$

Step 1.2

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

$6 y = z - 5 x$

Step 1.3

Divide each term in $6 y = z - 5 x$ by $6$ and simplify.

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Step 1.3.1

Divide each term in $6 y = z - 5 x$ by $6$ .

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

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $6$ .

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Step 1.3.2.1.1

Cancel the common factor.

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

Step 1.3.2.1.2

Divide $y$ by $1$ .

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

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Move the negative in front of the fraction.

$y = \frac{z}{6} - \frac{5 x}{6}$

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 $1$ , the degree of variable $z$ is $1$ and the degree of variable $x$ is $1$ .

Linear