document.write( "Question 684937: Solve the system of linear equations by graphing\r
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Algebra.Com's Answer #424246 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: Solve the System of Equations by Graphing

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\n" ); document.write( " Start with the given system of equations:
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\n" ); document.write( " \"2x-y=0\"
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\n" ); document.write( " \"4x-y=6\"
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\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
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\n" ); document.write( " So let's solve for y on the first equation
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\n" ); document.write( " \"2x-y=0\" Start with the given equation
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\n" ); document.write( " \"-y=0-2x\" Subtract \"2+x\" from both sides
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\n" ); document.write( " \"-y=-2x%2B0\" Rearrange the equation
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\n" ); document.write( " \"y=%28-2x%2B0%29%2F%28-1%29\" Divide both sides by \"-1\"
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\n" ); document.write( " \"y=%28-2%2F-1%29x%2B%280%29%2F%28-1%29\" Break up the fraction
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\n" ); document.write( " \"y=2x%2B0\" Reduce
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\n" ); document.write( " Now lets graph \"y=2x%2B0\" (note: if you need help with graphing, check out this solver)
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\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B0%29+\" Graph of \"y=2x%2B0\"
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\n" ); document.write( " So let's solve for y on the second equation
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\n" ); document.write( " \"4x-y=6\" Start with the given equation
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\n" ); document.write( " \"-y=6-4x\" Subtract \"4+x\" from both sides
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\n" ); document.write( " \"-y=-4x%2B6\" Rearrange the equation
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\n" ); document.write( " \"y=%28-4x%2B6%29%2F%28-1%29\" Divide both sides by \"-1\"
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\n" ); document.write( " \"y=%28-4%2F-1%29x%2B%286%29%2F%28-1%29\" Break up the fraction
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\n" ); document.write( " \"y=4x-6\" Reduce
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\n" ); document.write( " Now lets add the graph of \"y=4x-6\" to our first plot to get:
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\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B0%2C4x-6%29+\" Graph of \"y=2x%2B0\"(red) and \"y=4x-6\"(green)
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\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"3\",\"6\") (note: you might have to adjust the window to see the intersection)
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