Question

Given the system of equations, what is the solution?



x + 2y = 7

x - 2y = -1

{(-8, -12)}
{(3, 2)}
{(-4, 6)}

Answer 1

The method I'll be using is substitution.

x-2y=-1
+2y +2y
x=2y-1
(2y-1)+2y=7
4y-1=7
+1+1
4y=8
y=2

x-2y=-1
x-2(2)=-1
x-4=-1
+4 +4
x=3

Answer 2

So it would be {(3, 2)}