SOLUTION: PLEASE HELP ME SOLVE THIS 3X-5Y=-9 3X-6Y=-8

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Question 437138: PLEASE HELP ME SOLVE THIS 3X-5Y=-9 3X-6Y=-8
Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3X-5Y=-9
3X-6Y=-8
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Subtract and solve for "Y":
y = -1
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substitute for "y" and solve for "x":
3x-5y= -9
3x+5 = -9
3x = -14
x = -14/3
====================
Cheers,
Stan H.
====================

Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
3x -5y = -9
3x -6y = -8
Subtracting
y = -1
.
Substituting
3x -5(-1) = -9
3x +5 = -9
3x = -14
x = -14/3
.
Thus (-14/3, -1) appears to be the solution.
.
3(-14/3) - 5(-1) = ??
-14 +5 = -9
Checks
.
3(-14/3) -6(-1) = ??
-14 +6 = -8
Checks
.
So, the solution (-14/3, -1) works for both equations.
.
We also can graph the equations to see if they cross at (-14/3, -1).
First, get these equations into slope-intercept.
.
3x -5y = -9
-5y = -3x -9
y = 3/5*x + 9/5
.
3x -6y = -8
-6y = -3x -8
y = 1/2*x + 4/3
.

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