SOLUTION: solve by the elimination method x+9y=52 -x+6y=23 0.3x-0.2y=4 0.4+0.3y=-1

Algebra ->  Expressions-with-variables -> SOLUTION: solve by the elimination method x+9y=52 -x+6y=23 0.3x-0.2y=4 0.4+0.3y=-1      Log On


   

Question 325027: solve by the elimination method
x+9y=52
-x+6y=23
0.3x-0.2y=4
0.4+0.3y=-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%2B9y=52
2.-x%2B6y=23
Add eq. 1 and eq. 2 to eliminate x,
15y=75
highlight%28y=5%29
Then use either equation to solve for x,
x%2B45=52
highlight%28x=7%29
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.
.
.
0.3x-0.2y=4
1.3x-2y=40
0.4x%2B0.3y=-1
2.4x%2B3y=-10
Multiply eq. 1 by 3 and eq. 2 by 2 and add them,
9x-6y%2B8x%2B6y=120-20
17x=100
highlight%28x=100%2F17%29
Then use either equation to solve for y.
300%2F17-2y=40
-2y=680%2F17-300%2F17
-2y=380%2F17
highlight%28y=-190%2F17%29