document.write( "Question 41173: solve the following system of equations.
\n" ); document.write( "x-2y=5
\n" ); document.write( "-3x+2y=7
\n" ); document.write( "

Algebra.Com's Answer #26578 by PaulAllen65270(19)\"\" \"About 
You can put this solution on YOUR website!
First thing you need to do is get both equations equal to the same thing such as x\r
\n" ); document.write( "\n" ); document.write( "\"x-2y=5\"
\n" ); document.write( "\"x=2y%2B5\"\r
\n" ); document.write( "\n" ); document.write( "Now for the other equation\r
\n" ); document.write( "\n" ); document.write( "\"-3x%2B2y=7\" add 3x to both sides so you will not divide by a negitive
\n" ); document.write( "\"2y=3x%2B7\" subtract 7 from both sides
\n" ); document.write( "\"3x=2y-7\" divide both sides by 3
\n" ); document.write( "\"x=%282y-7%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "Now that they both equal x they can be set equal to each other because \"x=x\"\r
\n" ); document.write( "\n" ); document.write( "\"2y%2B5=%282y-7%29%2F3\" Multiply both sides by 3 to get rid of the fraction
\n" ); document.write( "\"%282y%2B5%29%283%29=2y-7\"
\n" ); document.write( "\"6y%2B15=2y-7\" Subtract 15 from both sides
\n" ); document.write( "\"6y=2y-22\" Subtract 2y from both sides
\n" ); document.write( "\"4y=-22\" Divide by 4
\n" ); document.write( "\"y=-5.5\"\r
\n" ); document.write( "\n" ); document.write( "Now to find x you substitute the Y you just found in either of the 2 equations\r
\n" ); document.write( "\n" ); document.write( "\"x-2y=5\" substitute -5.5 for y
\n" ); document.write( "\"x-2%28-5.5%29=5\"
\n" ); document.write( "\"x%2B11=5\" Subtract 11 from both sides
\n" ); document.write( "\"x=-6\" \r
\n" ); document.write( "\n" ); document.write( "So your answer is
\n" ); document.write( "\"x=-6\" & \"y=-5.5\"
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