Question 166424
{{{x+2y=4}}}
{{{3x-2y=6}}}
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in order to substitute, you need to find out what one variable is equal to.
In this case it is easiest to get x by itself with the first equation by subtracting 2y from each side.  When you do this, you get:{{{x=-2y+4}}}
now you substitute this into the other equation.
{{{3(-2y+4)-2y=6}}}
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distribute the 3
{{{-6y+12-2y=6}}}
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combine like terms
{{{-8y+12=6}}}
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subtract 12 from each side
{{{-8y=-6}}}
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divide each side by -8
{{{y=3/4}}}
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now plug this into the first equation to find out what x is:
{{{x=-2(3/4)+4}}}
{{{x=2.5}}}
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so: {{{x=2.5}}} ; {{{y=3/4}}}
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Plug these values in to the original equation to check for accuracy.
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