Consider the following two equations:
2x + 3y = 4
x - y = -3
We want to find the values of x and y that satisfy both equations. In this case, let's eliminate the x variable. Since the first equation has 2x, we want the second equation to have a -2x, so we multiply the entire second equation by -2. Then we add the two equations:
2x + 3y = 4
(x - y = -3)·(-2)
2x + 3y = 4
-2x + 2y = 6
-----------------
0 + 5y = 10
y = 2
To find x, plug y = 2 into either original equation and solve for x:
x - y = -3
x - 2 = -3
x = -1
So the answer is (x,y) = (-1,2)
