Question

Identify the solution for the system of equations graphed here.

A) (1, 1)
B) (-1, 1)
C) (1, -1)
D) (-1, -1)

Answer 1

c) (1,-1) because it's where the two lines intersect

Answer 2

The solution of the equations represented by the 2 lines is the point of intersection of the two lines shown in the graph.

Here we can see that the two lines intersect at
`(1,-1)`.

Therefore, the solution of the system of equations is
`x=1,y=-1`.

Note that two equations in 2 variables
`a_1x+b_1y=c_1,a_2x+b_2y=c_2` has a unique solution if
`(a_1)/(b_1) \\eq (a_2)/(b_2)`.