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.

Question

08-06-2019
Mathematics

contestada

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.

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sqdancefan sqdancefan · Answer 1 · 2019-06-08T02:43:01+02:00

Answer:

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

Step-by-step 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.

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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.