3x + 4y = 22 x + 2y = 2

To solve this system of equations, we can use the substitution method.

First, let's solve the second equation for x:
x + 2y = 2
x = 2 - 2y

Now, substitute x = 2 - 2y into the first equation:
3(2 - 2y) + 4y = 22
6 - 6y + 4y = 22
-2y = 16
y = -8

Now that we have found the value of y, we can substitute it back into the second equation to find x:
x + 2(-8) = 2
x - 16 = 2
x = 18

Therefore, the solution to the system of equations is x = 18 and y = -8.

3x - 4y = 22
12xy = 22
xy = 22/12
xy = 11/6

x - 2y = 2
2xy = 2
xy = 2/2
xy = 1

So, xy = 11/6 and xy = 1. This is a contradiction, so there is no solution to this system of equations.