Solve the System of Equations y=-3 y=x-3

$y = - 3$ $y = x - 3$

Step 1

Eliminate the equal sides of each equation and combine.

$- 3 = x - 3$

Step 2

Solve $- 3 = x - 3$ for $x$ .

Rewrite the equation as $x - 3 = - 3$ .

$x - 3 = - 3$

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

Add $3$ to both sides of the equation.

$x = - 3 + 3$

Add $- 3$ and $3$ .

$x = 0$

Step 3

Evaluate $y$ when $x = 0$ .

Substitute $0$ for $x$ .

$y = (0) - 3$

Substitute $0$ for $x$ in $y = (0) - 3$ and solve for $y$ .

Remove parentheses.

$y = 0 - 3$

Remove parentheses.

$y = (0) - 3$

Subtract $3$ from $0$ .

$y = - 3$

Step 4

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

$(0, - 3)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(0, - 3)$

Equation Form:

$x = 0, y = - 3$

Step 6