ANSWER: (8, -2)
Explanation:
First, put the lines in slope-intercept form.
4x + 8y = 16
8y = 16 - 4x
y = 2 - 4/8x
y = -1/2x + 2
2x - 3y = 22
-3y = 22 - 2x
y = -22/3 + 2/3x
y = 2/3x - 22/3
Now, make them equal to each other.
-1/2x + 2 = 2/3x - 22/3
Solve for x.
-1/2x + 2 = 2/3x - 22/3
2 = 7/6x - 22/3
28/3 = 7/6x
x = 8
(The process of solving this does involve finding equivalent fractions.)
Solve for y.
y = -1/2x + 2
y = -1/2(8) + 2
y = -4 + 2
y = -2
y = 2/3x - 22/3
y = 2/3(8) - 22/3
y = 16/3 - 22/3
y = -6/3
y = -2