Question 13577
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

{{{12x = 36}}}
Now solve like a one step equation. Divide both sides by 12.
{{{12x/12 = 36/12}}}
Reduce.
{{{x = 3}}}

Now plug in this value of x to one of the equations:
{{{(3) + y = -6}}}
Subtract 3 from each side.
{{{3 - 3 + y = -6 - 3}}}
Reduce.
{{{y = -9}}}

x = 3
y = -9

Remember to check:
{{{11(3) - (-9)}}} ... {{{42}}}
{{{33 + 9}}} ... {{{42}}}
{{{42 = 42}}}

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<marquee behavior="alternate">Solved by: NtNk</marquee>