Solve by Substitution y=-4x y=-5x+5

$y = - 4 x$ $y = - 5 x + 5$

Eliminate the equal sides of each equation and combine.

$- 4 x = - 5 x + 5$

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

Add $5 x$ to both sides of the equation.

$- 4 x + 5 x = 5$

Add $- 4 x$ and $5 x$ .

$x = 5$

Evaluate $y$ when $x = 5$ .

Substitute $5$ for $x$ .

$y = - 5 \cdot 5 + 5$

Substitute $5$ for $x$ in $y = - 5 \cdot 5 + 5$ and solve for $y$ .

Remove parentheses.

$y = - 5 \cdot 5 + 5$

Simplify $- 5 \cdot 5 + 5$ .

Multiply $- 5$ by $5$ .

$y = - 25 + 5$

Add $- 25$ and $5$ .

$y = - 20$

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

$(5, - 20)$

The result can be shown in multiple forms.

Point Form:

$(5, - 20)$

Equation Form:

$x = 5, y = - 20$