Solve by Substitution y=5x y=-x+30

$y = 5 x$ $y = - x + 30$

Eliminate the equal sides of each equation and combine.

$5 x = - x + 30$

Solve $5 x = - x + 30$ for $x$ .

Move all terms containing $x$ to the left side of the equation.

Add $x$ to both sides of the equation.

$5 x + x = 30$

Add $5 x$ and $x$ .

$6 x = 30$

Divide each term in $6 x = 30$ by $6$ and simplify.

Divide each term in $6 x = 30$ by $6$ .

$\frac{6 x}{6} = \frac{30}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{30}{6}$

Divide $x$ by $1$ .

$x = \frac{30}{6}$

Simplify the right side.

Divide $30$ by $6$ .

$x = 5$

Evaluate $y$ when $x = 5$ .

Substitute $5$ for $x$ .

$y = - (5) + 30$

Simplify $- (5) + 30$ .

Multiply $- 1$ by $5$ .

$y = - 5 + 30$

Add $- 5$ and $30$ .

$y = 25$

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(5, 25)$

The result can be shown in multiple forms.

Point Form:

$(5, 25)$

Equation Form:

$x = 5, y = 25$