document.write( "Question 300413: solve by graphing 3x+y=5,-2x+3y=4 How would you graph this???? I really need help! THANKYOU!! \n" ); document.write( "
Algebra.Com's Answer #215574 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The quickest way to graph a line is to find the intercepts.
\n" ); document.write( "To find the x-intercept, set y=0 and solve for x.
\n" ); document.write( "\"3x%2By=5\"
\n" ); document.write( "\"3x%2B0=5\"
\n" ); document.write( "\"3x=5\"
\n" ); document.write( "\"x=5%2F3\"
\n" ); document.write( "(5/3,0)
\n" ); document.write( "To find the y-intercept, set x=0 and solve for y.
\n" ); document.write( "\"3x%2By=5\"
\n" ); document.write( "\"0%2By=5\"
\n" ); document.write( "\"y=5\"
\n" ); document.write( "(0,5)
\n" ); document.write( "Plot those points and graph the first line.
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\n" ); document.write( "Do the same for the next line.
\n" ); document.write( "To find the x-intercept, set y=0 and solve for x.
\n" ); document.write( "\"-2x%2B3y=4\"
\n" ); document.write( "\"-2x%2B0=4\"
\n" ); document.write( "\"x=-2\"
\n" ); document.write( "(-2,0)
\n" ); document.write( "To find the y-intercept, set x=0 and solve for y.
\n" ); document.write( "\"-2x%2B3y=4\"
\n" ); document.write( "\"0%2B3y=4\"
\n" ); document.write( "\"y=4%2F3\"
\n" ); document.write( "(0,4/3)
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\n" ); document.write( ".
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\n" ); document.write( "From looking at the graph, it's apparent that the intersection point is (1,2).
\n" ); document.write( "Verify by plugging into the original equations.
\n" ); document.write( "\"3x%2By=5\"
\n" ); document.write( "\"3%281%29%2B2=5\"
\n" ); document.write( "\"3%2B2=5\"
\n" ); document.write( "\"5=5\"
\n" ); document.write( "True
\n" ); document.write( "\"-2x%2B3y=4\"
\n" ); document.write( "\"-2%281%29%2B3%282%29=4\"
\n" ); document.write( "\"-2%2B6=4\"
\n" ); document.write( "\"4=4\"
\n" ); document.write( "True
\n" ); document.write( "Solves both equations, its a good solution.
\n" ); document.write( "(1,2)
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