Question

Which of the following statements are true of the

graphed system of equations? Check all that apply.
The system has infinitely many solutions.
A solution to the system is (-1, -2).
A solution to the system is (0, -1).
One of the equations is y = x-1.
One of the equations is 3x + y = -5.

Answer 1

B,D and E

Explanation:

Answer 2

B, D, and E.

Explanation:

A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.

B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.

C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).

D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.

E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.