Question

Which graph best represents the solution to the system of equations shown below? (5 points)

y = −4x + 19
y = 2x + 1

Answer 1

To find the point of intersection of both lines, set the equations equal to each other and solve for x:

-4x + 19 = 2x + 1
-4x - 2x = 1 - 19
-6x = -18
x = 3

Then, substitute x = 3 back into one of the equations to solve for y:

y = -4(3) + 19
y = -12 + 19
y = 7

Therefore, the solution to the system of equations is x = 3 and y = 7.

The graph that best represents the solution to the system of equations is a point at (3, 7).