SOLUTION: Choose the ordered pair that is a solution to the system of equations. 3x - y = 10 -x + y = -4

Algebra ->  Linear-equations -> SOLUTION: Choose the ordered pair that is a solution to the system of equations. 3x - y = 10 -x + y = -4       Log On


   



Question 150039: Choose the ordered pair that is a solution to the system of equations.
3x - y = 10
-x + y = -4

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x-y=10
2.-x%2By=-4
Multiply eq. 2 by 3,
2.3%28-x%2By%29=3%28-4%29
2.-3x%2B3y=-12
Add to eq. 1 and have an equation in only y.
3x-y%2B%28-3x%2B3y%29=10-12
2y=-2
y=-1
Use eq. 2 to solve for x.
2.-x%2By=-4
-x-1=-4
-x=-3
x=3
.
.
.
(x,y)=(3,-1)
with graphic proof of the intersection.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-4%2Bx%2C+3x-10%29+