SOLUTION: Can you plese help me with the following? I need to solve and graph the following equation and interpet the result: 2x-3y=6 and 2x+y=-10.

Algebra ->  Linear-equations -> SOLUTION: Can you plese help me with the following? I need to solve and graph the following equation and interpet the result: 2x-3y=6 and 2x+y=-10.      Log On


   

Question 131479: Can you plese help me with the following?
I need to solve and graph the following equation and interpet the result:
2x-3y=6 and 2x+y=-10.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve and graph the following equation and interpet the result:
2x-3y=6 and 2x+y=-10.
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solve both equation for "y":
y = (2/3)x-2
y = -2x-10
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Graph y = (2/3)x-2
If x = 0, y = -2
If x = 3, y = 0
Plot the two points and draw a line thru them.
graph%28400%2C300%2C-10%2C10%2C-15%2C15%2C%282%2F3%29x-2%29
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Graph y = -2x-10
If x = 0, y = -10
If x = 1, y = -12
Plot the two points and draw a line thru them.
graph%28400%2C300%2C-10%2C10%2C-15%2C15%2C-2x-10%29
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Graphing them on the same set of axes you might see
the lines cross at (-3,-4); this is the solution for
the system of two equations. It is the common solution.
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graph%28400%2C300%2C-10%2C10%2C-15%2C15%2C-2x-10%2C%282%2F3%29x-2%29
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Cheers,
Stan H.