Given the system of equations, what is the solution?

x + 3y = 5
x - 3y = -1

{(-4, -3)}
{(2, 1)}
{(-2, 3)}

Question

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

ajspeller · Answer

Add the equations together because this will eliminate the y variable.

What is x + x ?
What is 3y - 3y ?
What is 5 - 1?

anonymous · Answer

2x
0
4

ajspeller · Answer

2x + 0 = 4

2x = 4

Solve for x.

anonymous · Answer

x is 2

anonymous · Answer

the answer is (2,1) 
because the -3 and +3 cancel each other out you then get a simple algebra equation, once you solve for x, which is 2, you would then take one of the original problem

anonymous · Answer

and plug in the 2 to solve for y, which is 1.

ajspeller · Answer

Bingo!  Now substitute the x value of 2 into either of the other equations to calculate the value for y.   Then you are done!

anonymous · Answer

Thank you guys so much! =)

ajspeller · Answer

No problemo!