SOLUTION: I have to find the value of X and Y and I am looking for the sides of 2X+y=10 and the other side of 2X-Y=6. One side say just says 2X-Y and the congruent side of this is 6. The oth

Algebra ->  Parallelograms -> SOLUTION: I have to find the value of X and Y and I am looking for the sides of 2X+y=10 and the other side of 2X-Y=6. One side say just says 2X-Y and the congruent side of this is 6. The oth      Log On


   



Question 847339: I have to find the value of X and Y and I am looking for the sides of 2X+y=10 and the other side of 2X-Y=6. One side say just says 2X-Y and the congruent side of this is 6. The other side just says 2X+Y and the congruent side to this one is 10. I am confused on how to solve this. I would really like it if you could explain how to solve this equation and what you did step by step please.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have to find the value of X and Y and I am looking for the sides of 2X+y=10 and the other side of 2X-Y=6. One side say just says 2X-Y and the congruent side of this is 6. The other side just says 2X+Y and the congruent side to this one is 10.
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2x+y = 10
2x-y = 6
------------
Add and solve for "x":
4x = 16
x = 4
-----
Solve for "y":
2x+y = 10
2*4 + y = 10
y = 2
====================
Cheers,
Stan H.
========================

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you are given:
2x%2By=10....eq.1 and
+2x-y=6...........eq.2
___________________________________solve this system

2x%2By=10 ....eq.1 and
+2x-y=6...........eq.2
_____________________________since you have 2x in both equations, subtract eq.2 from eq.1
2x%2By-%282x-y%29=10-6
cross%282x%29%2By-cross%282x%29%2By=4
2y=4
y=4%2F2
highlight%28y=2%29
now, plug it in one of the eq. above and find x
2x%2By=10 ....eq.1
2x%2B2=10

2x=10-2

2x=8
x=8%2F2
highlight%28x=4%29