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)
