SOLUTION: can you show me step by step how to solve the following equation, I'm looking for the solution for x and y. 6x + 4y = 60 8x + 9y = -4

Algebra ->  Expressions-with-variables -> SOLUTION: can you show me step by step how to solve the following equation, I'm looking for the solution for x and y. 6x + 4y = 60 8x + 9y = -4       Log On


   



Question 321331: can you show me step by step how to solve the following equation, I'm looking for the solution for x and y.
6x + 4y = 60
8x + 9y = -4

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6x + 4y = 60..............1
8x + 9y = -4..............2
Let us eliminate x by subtracting one equation from the other.
before that you have to make the co-efficinets of x equal.
multiply equation 1 by 8 and equation 2 by 6 .
we get
48x +32y=480
48x+54y=-24
..
(48x+32y)-(48x+54y)=480-(-24)
48x+32y-48x-54y=504
-22y= 504
y=-22.91
plug the value of y in eq 1
x=((4*-22.91) -60)/-6
x=25.27