Step 1)* Solve the second equation for y:
y + 4 = 5x
y + 4 - color(red)(4) = 5x - color(red)(4)
y + 0 = 5x - 4
y = 5x - 4
Step 2) Substitute (5x - 4) for y in the first equation and solve for x:
3x + y = 1 becomes:
3x + (5x - 4) = 1
3x + 5x - 4 = 1
(3 + 5)x - 4 = 1
8x - 4 = 1
8x - 4 + color(red)(4) = 1 + color(red)(4)
8x - 0 = 5
8x = 5
(8x)/color(red)(8) = 5/color(red)(8)
(color(red)(cancel(color(black)(8)))x)/cancel(color(red)(8)) = 5/8
x = 5/8
**Step 3) Substitute 5/8 for x in the solution to the second equation at the end of Step 1 and calculate y#:
y = 5x - 4 becomes:
y = (5 xx 5/8) - 4
y = 25/8 - 4
y = 25/8 - (8/8 xx 4)
y = 25/8 - 32/8
y = (25 - 32)/8
y = -7/8
The Solution Is: x = 5/8 and y = -7/8 or (5/8, -7/8)
