Finite Math Examples

$x = 60 x + 50 y$

Step 1

Solve the equation for $y$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $60 x + 50 y = x$ .

$60 x + 50 y = x$

Step 1.2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 1.2.1

Subtract $60 x$ from both sides of the equation.

$50 y = x - 60 x$

Step 1.2.2

Subtract $60 x$ from $x$ .

$50 y = - 59 x$

Step 1.3

Divide each term in $50 y = - 59 x$ by $50$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $50 y = - 59 x$ by $50$ .

$\frac{50 y}{50} = \frac{- 59 x}{50}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $50$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{50 y}{50} = \frac{- 59 x}{50}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 59 x}{50}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Move the negative in front of the fraction.

$y = - \frac{59 x}{50}$

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