Question

What is the solution of the system? y = -8x - 2 and y = -6x + 4

A. (-3, 22)
B. (-8/3, 1/22)
C. (-14/3, 6/22)
D. (3/14, - 6/14)

Answer 1

Plug the x and y coordinates into those equations and whichever one makes sense for BOTH of the equations is a solution

Answer 2

Equation 1:  y = - 8x - 2    

Equation 2: y = - 6x + 4

Equation both equations, we get:

- 8x - 2= - 6x + 4

-8x + 6x = 4 + 2

-2x = 6

x = -3

Using the value of x in first equation, we get:

y= -8(-3) - 2 = 24 - 2 = 22

So, the solution to the given equations is (-3, 22)

So, the answer is option A