SOLUTION: i need the steps of how to solve the following equation. 4x-5y=28 5x+6Y=14

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Question 685626: i need the steps of how to solve the following equation.
4x-5y=28
5x+6Y=14

Found 2 solutions by lizterry, Alan3354:
Answer by lizterry(3) About Me  (Show Source):
You can put this solution on YOUR website!
4x-5y=28
5x+6Y=14
Step one, isolate a variable. I prefer to isolate y.
-5(4x -5y =28)
4(5x +6y =14)
-20x +25y =-140
20x +24y = 56
The x's cancel out leaving you:
49y= -84
then divide. y=-3
To figure out x, you do the same thing except you don't have to use a negative number because there is already one.
6(4x-5y=28)
5(5x+6Y=14)
24x -30y =168
25x +30y =70
29x=238
x= 4.85
I hope this helps. (:

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4x-5y=28
5x+6Y=14
================
-5(4x -5y =28)
4(5x +6y =14)
-20x +25y =-140
20x +24y = 56
------------------ Add
49y = -84
y = -12/7
================
4x - 5y = 28
4x + 60/7 = 28
x + 15/7 = 7
x = 34/7