Step 1) Solve the first equation for y:
-5x + y = -4
color(red)(5x) - 5x + y = color(red)(5x) - 4
0 + y = 5x - 4
y = 5x - 4
Step 2) Substitute (5x - 4) for y in the second equation and solve for x:
2x - y = -5 becomes:
2x - (5x - 4) = -5
2x - 5x + 4 = -5
(2 - 5)x + 4 = -5
-3x + 4 = -5
-3x + 4 - color(red)(4) = -5 - color(red)(4)
-3x + 0 = -9
-3x = -9
(-3x)/color(red)(-3) = (-9)/color(red)(-3)
(color(ed)(cancel(color(black)(-3)))x)/cancel(color(red)(-3)) = 3
x = 3
Step 3) Substitute 3 for x in the solution to the first equation at the end of Step 1 and calculate y:
y = 5x - 4 becomes:
y = (5 xx 3) - 4
y = 15 - 4
y = 11
The Solution Is: x = 3 and y = 11 or (3, 11)