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

Algebra.Com
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)   (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)

RELATED QUESTIONS

Solve the following system of equations. x+3y=3 (1) x=4-3y (2) What is the solution (answered by htmentor)
Solve the following system of equations. x+3y=3 (1) x=4-3y (2) What is the solution (answered by Alan3354)
solve the following sysem ofequations. x+3=5(1) x=3-3y(2) What is the solution of the (answered by Maths68)
solve the following system of equations x+3y=4 (1) x=5-3y (2) the solution is??... (answered by Theo,duckness73)
COULD SOME ONE HELP? SOLVE EACH SYSTEM OF SIMULTANEOUS EQUATIONS BY USING THE LINEAR... (answered by stanbon)
what is k if the following system of equations has a unique solution: 2x+(k-1)y=6... (answered by stanbon)
solve the following system of equations x +3y =9 (1) x=5-3y (2) (answered by ankor@dixie-net.com,checkley77)
Determine whether (-3,1) is a solution of the following system of equations: y=-1/3 x... (answered by solver91311)
Determine whether the given ordered pair is a solution of the system of equations.... (answered by sdmmadam@yahoo.com)