Question

Consider the following system of equations:

y = 5x + 6
y = –x – 7

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


Line y = 5x + 6 intersects line y = –x – 7.

Lines y = 5x + 6 and y = –x – 7 intersect the x-axis.

Lines y = 5x + 6 and y = –x – 7 intersect the y-axis.

Line y = 5x + 6 intersects the origin.

Answer 1

Line y = 5x + 6 intersects line y = −x − 7

Explanation:

Since the question is asking for the solution-

The solution is the set of points that satisfies both equations, it is also the intersection-

you would pick the first option

Answer 2

Explanation:

D is wrong. Lines that go through the origin are lines in the form of y = ax. If something does not go through the origin, it is of the form y = ax + b

B and C are a bit ambiguous. What exactly is meant? Do they mean that both of them intersect the x axis (or the y axis) in 2 different places? Then both are true. If they mean at the same place then both are false.

That leaves you with A which is the answer.