Question

Which description best describes the solution to the following system of equations?

y = –x + 4
y = 3x + 3 (4 points)


Line y = –x + 4 intersects the line y = 3x + 3.

Lines y = –x + 4 and y = 3x + 3 intersect the x-axis.

Lines y = –x + 4 and y = 3x + 3 intersect the y-axis.

Line y = –x + 4 intersects the origin.

Answer 1

Line y = –x + 4 intersects the line y = 3x + 3

Explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

___

Comments on other answer choices

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.