-2x + y= -5...........(1)
y= 1/4 x + 2
==> - 1/4 x + y= 2..........(2)
To solve the system, we will subtract (2) from (1)
==> -7/4 x = -7
Now we will multiply by -4/7
==> x = -7*-4/7 = 4
==> x= 4
Now we will substitute into (1) to find y.
==> -2x + y = -5
==> -2(4) + y= -5
==> -8 + y= -5
==> y= 3
Then the solution to the system is the point (4,3).