Which ordered pair is the best estimate for the solution of the system of equations? y = - 1/5x + 1 y = x + 4

Given system of equation:

y=-1/5x + 1 Equation 1

y=x+4 Equation 2

Substitute value of y in equation 2.

x+4=-1/5x+1

Multiply both sides by 5.

5x+20=-x+5

Add x to both sides

6x+20=5

Subtract 20 from both sides

6x=-15

x=-15/6

x=-5/2

Now substitute value of x in equation 1.

y=-1/5 (-5/2) + 1

y=1/2+1

y=3/2

Solution is (x, y) = (-5/2, 3/2)