SOLUTION: Find the values of x and y that solve the following system of equations: 5x-6y=-1 and -3x-2y=23

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Question 316379: Find the values of x and y that solve the following system of equations:

5x-6y=-1 and -3x-2y=23
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1. 5x-6y=-1
2. -3x-2y=23
..
multiply eq2 by 3 and subtract eq1 to eliminate y
-9x-6y-(5x-6y)= 69- (-1)
-9x-6y-5x+6y=70
-14x=70
x=70/-14
x=-5
plug the value of x n eq1
5*(-5)-6y=-1
-25-6y=-1
-6y=24
y=-4