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.

The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

Step-by-step explanation:

The first equation is given to be :

y = -x + 2

x       0         2

y       2         0

The second equation is :

y = 3x + 1

x       0        -1/3

y       1         0

Now, The graphs of both the equation are attached below :

So, By seeing the graph, We can observe :

But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.

Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

step-by-step explanation: