Question

Solve the following system of equations by graphing and include all work and checks:

3x - y = -6
-6x + y = 2
A) (x, y) = (2, 12)
B) (x, y) = (-2, -12)
C) (x, y) = (-2, 12)
D) (x, y) = (2, -12)

Answer 1

To solve the system of equations, graph both equations on a coordinate plane and find the point of intersection. The correct answer is (2, 12).

Step-by-step explanation:

To solve the system of equations, we can graph both equations on the same coordinate plane and find the point of intersection. Let's start by graphing the first equation, 3x - y = -6. We can rewrite this equation in slope-intercept form as y = 3x + 6. Now let's graph the second equation, -6x + y = 2. Rewriting this equation in slope-intercept form, we get y = 6x + 2. By graphing both equations, we find that the point of intersection is (2, 12), so the correct answer is A) (x, y) = (2, 12).