Step 1) Solve the second equation for y:
y + 4x = 16
y + 4x - color(red)(4x) = 16 - color(red)(4x)
y + 0 = 16 - 4x
y = 16 - 4x
Step 2) Substitute (16 - 4x) for y in the first equation and solve for x:
2x - 4y = 6 becomes:
2x - 4(16 - 4x) = 6
2x - (4 * 16) + (4 * 4x) = 6
2x - 64 + 16x = 6
2x + 16x - 64 = 6
(2 + 16)x - 64 + color(red)(64) = 6 + color(red)(64)
18x - 0 = 70
18x = 70
(18x)/color(red)(18) = 70/color(red)(18)
x = 35/9
Step 3) Substitute 35/9 for x in the solution to the second equation at the end of Step 1 and calculate y:
y = 16 - 4x becomes:
y = 16 - (4 xx 35/9)
y = 144/9 - 140/9
y = (144 - 140)/9
y = 4/9
The Solution Is:
x = 35/9 and y = 4/9
Or
(35/9, 4/9)
