5x + 9y = 0
6x + 6y = 2 use substitution method
5x + 9y = 0
y = -5x/9
6x + 6y = 2 substitute y with -5x/9
6x + 6(-5x/9) = 2
6x - 30x/9 = 2 multiply by 9 to both sides
54x - 30x = 18
24x = 18
x = 24/18 = 4/3
y = -5x/9 = (-5/9)x substitute x with 4/3
y = (-5/9)(4/3) = -20/27
Thus the solution is x = 4/3 and y = -20/27.
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-x+3y+6x-6y=5x-3y
25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
If you mean: 5x-6y = 30 then y = 5/6x-5 whereas 5/6 is the slope and -5 is the y intercept
-5x + y = -12- 3x + 6y = -12Since both of expressions have a value of -12, their sum is - 24. This is true only whenx = 20/9 and y = -8/9.-5x + y = -12y = 5x - 12- 3x + 6y = -12-3x + 6(5x - 12) = -12-3x + 30x - 72 = -1227x = 60x = 60/27x = 20/9y = 5x - 12y = 5(20/9) - 12y = 100/9 - 12y = (100 - 108)/9y = -8/9
You cannot solve 1 linear equation in 2 unknown variables. You need at least two independent equations.