Consider the following system of equations:

y = −2x + 3
y = x − 5

Which description best describes the solution to the system of equations? (4 points)

A Lines y = −2x + 3 and y = 3x − 5 intersect the x-axis.

B Line y = −2x + 3 intersects line y = x − 5.

C Lines y = −2x + 3 and y = 3x − 5 intersect the y-axis.

D Line y = −2x + 3 intersects the origin.

1 answer

D Line y = -2x + 3 intersects the origin.

This is because the point (0,3) (which is the y-intercept of the first equation) satisfies both equations.