Question

graph each equation. determine the solution of the system of equations.
$x + 2y = 12$
$7x + 2y = 0$
use the graphing tool to graph the system.
what is the solution of the system of equations?
\boxed{} (type an ordered pair.)

Explanation:

Step1: Subtract equations to eliminate $2y$

$$(7x + 2y) - (x + 2y) = 0 - 12$$
$$6x = -12$$

Step2: Solve for $x$

$$x = \frac{-12}{6} = -2$$

Step3: Substitute $x=-2$ into first equation

$$-2 + 2y = 12$$

Step4: Solve for $y$

$$2y = 12 + 2 = 14$$
$$y = \frac{14}{2} = 7$$

Answer:

$(-2, 7)$