SOLUTION: How to solve this? our lesson is about elimination. 1) 3x+y= 2 9x+2y= 7 2) x-y=- 7 3x+y= 19 3) 4x+y= 6 x-2y= 15 4) 2x+y= 10 4x+2y= 5 5) -x+3y= -2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How to solve this? our lesson is about elimination. 1) 3x+y= 2 9x+2y= 7 2) x-y=- 7 3x+y= 19 3) 4x+y= 6 x-2y= 15 4) 2x+y= 10 4x+2y= 5 5) -x+3y= -2       Log On


   



Question 919988: How to solve this? our lesson is about elimination.
1) 3x+y= 2
9x+2y= 7
2) x-y=- 7
3x+y= 19
3) 4x+y= 6
x-2y= 15
4) 2x+y= 10
4x+2y= 5
5) -x+3y= -2
-3x+9y= -6

Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1) Multiply the first equation by -2 and add the equations together. You eliminate y.
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2) Add the equations together. You eliminate y.
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3) Multiply the first equation by 2 and add the equations together. You eliminate y.
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4) Multiply the first equation by -2 and add the equations together. You eliminate y.
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5) Multiply the first equation by -3 and add the equations together. You eliminate y.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
I will Start You out by finding one variable: Plug and Play to find the Other.
1)
-2(3x+y= 2)
9x+2y= 7
6x = 9, x = 3 3x%2By+=+2, 3%2A3+%2By+=+2, y = -7
(3, - 7) the Solution this System
...........
2)
x-y=- 7
3x+y= 19
4x = 12, x = 3
..........
3)
2(4x+y= 6)
x-2y= 15
9x = 27, x = 3
.........
4)
-2(2x+y= 10)
4x+2y= 5
0 ≠ -15 NO Solution
.........
5)
-3(-x+3y= -2)
-3x+9y= -6
0 = 0 Infinte Solutions (Same Line)