SOLUTION: Given the system of equations, what is the solution? x + 3y = 5 x - 3y = -1 {(-4, -3)} {(2, 1)} {(-2, 3)}

Algebra ->  Systems-of-equations -> SOLUTION: Given the system of equations, what is the solution? x + 3y = 5 x - 3y = -1 {(-4, -3)} {(2, 1)} {(-2, 3)}      Log On


   



Question 1087378: Given the system of equations, what is the solution?
x + 3y = 5
x - 3y = -1
{(-4, -3)}
{(2, 1)}
{(-2, 3)}

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You can add up the equations to get 2x = 4. Note how the y terms add to 0y and they go away. After you add the equations, divide both sides by 2 to get x = 2

So at this point, we can see the answer is choice B. It's the only answer choice with x = 2.

Let's find out y must be assuming we don't have these multiple choice answers.
If x = 2, then
x+3y = 5
2+3y = 5
2+3y-2 = 5-2
3y = 3
3y/3 = 3/3
y = 1
So that's why the solution is (x,y) = (2,1)