SOLUTION: Solve the following system of equations using the graphing method. Besure to state the solution to the system. x-y=-5 2x-6y=-18

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Because these equations are given in standard form, it's easiest to graph each of these by the TWO INTERCEPT METHOD.

x-y=-5
If x=0, then -y=-5, so y=5
If y=0, then x=-5

2x-6y=-18
If x=0, then -6y=-18, so y=3
If y=0, then 2x=-18, so x=-9

Graph these points and connect the respective dots! It should look like this:

It looks like the graphs cross at x=-3 and y=2. Therefore the solution set is the point { (-3,2) }

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