Asystem of equations is graphed on a coordinate plane.

which coordinates are the best estimate of the solution to the system of equations?

a) (-1, 0)
b) (-1, -1)
c) (1, 0)
d (1, -1)

The solution of this system of equations is the point of cut of these line.

Point of cut is when x is close to -1, and y is close to 0; therefore the best estimate of the solution would be:

A) (-1,0)

We can check it out our answer solving the system of equations:
-3x+y=2
-4x+7y=1

We solve this system by substitution method. 
-3x+y=2   ⇒  y=2+3x

-4x+7(2+3x)=1
-4x+14+21x=1
-4x+21x=1-14
17x=-13
x=-13/17=-0.764≈-1

y=2+3x
y=2+3(-0.764)
y=2-2.292
y=-0.292≈0

The approximate solution will be (-1,0)