SOLUTION: 0.3x-0.2y=4 0.2x+0.3y=-37/17 Solve by elimination. Thank you, Missy

Question 452320: 0.3x-0.2y=4
0.2x+0.3y=-37/17
Solve by elimination.
Thank you,
Missy
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
0.3x - 0.2y = 4
0.2x + 0.3y = -37/17
:
Let's clean up these equations:
:
Multiply the 1st equation by 10
3x - 2y = 40
:
Multiply the 2nd equation by 17, results
3.4x + 5.1y = -37
multiply by 10
34x + 51y = -370
:
They want elimination multiply the 1st equation by 51, the 2nd equation by 2, results:
153x - 102y = 2040
68x + 102y = -740
-----------------------addition eliminates y, find x
221x + 0 = 1300
x =
reduces to
x =
:
Find y using the 2nd original equation
0.2 + 0.3y = -37/17
+ 0.3y = -37/17
.3y = -
.3y =
y =
y = *
y = reduces to
:
:
Check solutions in the 1st original equation
0.3x - 0.2y = 4
.3* - .2* = 4
+ . = 4
= 4; confirms our solution on this nasty problem
x = y =

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