SOLUTION: Solve by any method -4x+3y=2 5x-2y=-3

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Question 59854: Solve by any method
-4x+3y=2
5x-2y=-3
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by any method
E1: -4x+3y=2
E2: 5x-2y=-3
I'm going to use the elimination method in an attempt to avoid fractions. Multiply E1 by 5 and E2 by 4. Add E1+E2 to eliminate the x's.
E1: 5(-4x+3y)=5(2) ---> -20x+15y=10
E2: 4(5x-2y)=4(-3) ---> 20x-8y=-12
:
-20x+15y=10
20x-8y=-12
__________
0+7y=-2
7y/7=-2/7
y=-2/7 Darn! It's a fraction anyway.
Substitute -2/7 into either equation for y and solve for x.
-4x%2B3%28-2%2F7%29=2
-4x-6%2F7=2
7%28-4x-6%2F7%29=7%282%29 Let's clear the fraction by multiplying everything by 7.
-28x-42%2F7=14
-28x-6=14
-28x-6%2B6=14%2B6
-28x=20
-28x%2F-28=20%2F-28 20/-28 reduces by 4.
x=5%2A4%2F%28-7%2A4%29
x=-5%2F7
The soltuion is: (-5/7,-2/7)
Happy Calculating!!!