SOLUTION: x + y = -6 11x - y = 42 Many solutions or no solutions?

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Question 13577: x + y = -6
11x - y = 42
Many solutions or no solutions?

Answer by ntnk(54)   (Show Source): You can put this solution on YOUR website!
To solve a system of equations, you can either graph, substitute, or use elimination. The easiest method for this problem will be elimination:
Add the two equations together to eliminate y:
x + y = -6
11x - y = 42
------------
12x + 0 = 36

Now solve like a one step equation. Divide both sides by 12.

Reduce.

Now plug in this value of x to one of the equations:

Subtract 3 from each side.

Reduce.

x = 3
y = -9
Remember to check:
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Solved by: NtNk

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