Question

Which description best describes the solution to the following system of equations? (1 point)

y = −2x + 3

y = −x + 1

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

b
Line y = −2x + 3 intersects the line y = −x + 1.

c
Lines y = −2x + 3 and y = −x + 1 intersect the x-axis.

d
Lines y = −2x + 3 and y = −x + 1 intersect the y-axis.

Answer 1

b

Line y = −2x + 3 intersects the line y = −x + 1.

Explanation:

We are given the following system of linear equations:

y = −2x + 3

y = −x + 1

Solution of a system of linear equations:

The solution of a system of linear equations is the point in which the two lines intersect.

In this question, the two lines are y = -2x + 3 and y = -x + 1, which means that the correct answer is given by option b.