Answer:
Step 1: The problem is arranged in a way that allows us to use the elimination method by canceling out the ys since 1y - 1y = 0. Then, we'll add the like terms including the xs, and the constants (-4 and 10):
x + y = -4
+
x - y = 10
-----------------
2x = 6
x = 3
Step 2: Now, we can plug in 3 for x in any of the two original equations to find y. Let's try the first equation:
3 + y = -4
y = -7
Optional Step 3: We can check by plugging in 3 for x and -7 for y in both equations and see if we get -4 and 10
Plugging in solutions for first equation:
3 - 7 = -4
-4 = -4
Plugging in solutions for second equation:
3 - (-7) = 10
3 + 7 = 10
10 = 10