Question

Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1

(A.) {(-8, -12)}
(B.) {(3, 2)}
(C.) {(-4, 6)}

Answer 1

We can do the elimination method to find the solution for this problem. The elimination method involves adding the two equations together to get rid of a like term.

x + 2y = 7
+ x - 2y = -1
—————————
2x = 6

Now that we eliminated 2y because they cancel out, we are left with 2x = 6. Divide both sides by 2 in order to get x.

The answer is: x = 3.

Now that we know the numerical value of x, all we have to do is plug x into either system of equation in order to find the numerical value of y.

x + 2y = 7

3 + 2y = 7

2y = 4

y = 2

The solution to the problem is (3, 2).