document.write( "Question 875432: a/x + b/y = a/2 + b/3
\n" ); document.write( "x - y = -1\r
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\n" ); document.write( "\n" ); document.write( "Solve this with Substitution Method?
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Algebra.Com's Answer #528178 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Simplify the first equation, and then use substitution to solve the system.\r
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\n" ); document.write( "\n" ); document.write( "6xy is the common denominator, which you should multiply both sides:
\n" ); document.write( "\"6ay%2B6bx=3axy%2B2bxy\"\r
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\n" ); document.write( "\n" ); document.write( "Simpler second equation is also x=y-1, substitute into the first now simplified equation.
\n" ); document.write( "\"6ay%2B6b%28y-1%29=3a%28y-1%29y%2B2b%28y-1%29y\"
\n" ); document.write( "\"6ay%2B6by-6b=3ay%5E2-3ay%2B2by%5E2-2by\"
\n" ); document.write( "\"3ay%5E2%2B2by%5E2-3ay-2by-6ay-6by%2B6b=0\"
\n" ); document.write( "\"3ay%5E2%2B2by%5E2-9ay-8by%2B6b=0\"
\n" ); document.write( "\"highlight_green%28%283a%2B2b%29y%5E2-%289a%2B8b%29y%2B6b=0%29\", a quadratic equation in the variable, y, on which you can use the general solution for a quadratic equation. Many symbols to write, and doing this is much more fast and comfortable on paper than by typing text onto this webpage.
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