(08.01)consider the following system of equations:
y = −x + 2
y = 3x + 1
which description best describes the solution to the system of equations?
line y = −x + 2 intersects line y = 3x + 1.
lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
lines y = −x + 2 and y = 3x + 1 intersect the y-axis.
line y = −x + 2 intersects the origin.

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

Step-by-step explanation:

we have

y=-x+2 > equation A

y=3x+1 > equation B

we know that

The solution of the system of equations is the intersection point both graphs

The slope of Line A (m=-1) is different to the slope of Line B (m=3)

so

The system of equations A and B has only one solution

This is a consistent independent system  

therefore

The description that best describes the solution  to the system of equations is

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

step-by-step explanation:

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