SOLUTION: What does "X" and "Y" equal in the following system of equation: {4 - 2x = 1/2y} {4x + 6y = = -6}

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Question 749255: What does "X" and "Y" equal in the following system of equation:
{4 - 2x = 1/2y}
{4x + 6y = = -6}

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try putting each equation into the same form, you choose, either standard form or general form. The second one is already in standard form. Try then working with first the first equation.

4+-+2x+=+%281%2F2%29y______assuming you meant the 1%2F2 to be grouped separately from the y
multiply both sides by 2
8-4x=y
-4x-y=-8
4x%2By=8

Your system is then this:
{4x+y=8}
{4x+6y=-6}

Subtract one equation from the other equation using the fact that this will eliminate the 4x, allowing you to quickly find the value for y. Now using what you found for y, find x.

To began that process,
4x%2By-%284x%2B6y%29=8-%28-6%29
4x%2By-4x-6y=8%2B6
4x-4x%2By-6y=14
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