SOLUTION: Please Help!!!!! Solve graphically and algebraically. 2x-3y=6 x+2y=10

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Question 91612: Please Help!!!!!
Solve graphically and algebraically.
2x-3y=6 x+2y=10

Answer by stanbon(57285) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=6 x+2y=10
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Solve each equation for Y:
y = (2/3)x - 2
y = (-1/2)x + 5
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Graphing to find the solution:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-2%2C%28-1%2F2%29x%2B5%29
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Solving algebraically:
Since the "y's" are the same:
(2/3)x - 2 = (-1/2)x+5
(2/3 + 1/2)x = 7
[(4+3)/6]x = 7
(7/6)x = 7
(1/6)x = 1
x = 6
Substitute to solve for y:
y = (2/3)6 -2 = 2
Solution: (6,2)
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Cheers,
Stan H.