document.write( "Question 601880: Solve: $\"+6x%2B8y=14\"$ ,
\n" ); document.write( " $\"+xy=-12\"$ \n" ); document.write( "

Algebra.Com's Answer #380046 by unlockmath(1688) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hello,
\n" ); document.write( "Let's do substitution with these.
\n" ); document.write( "6x+8y=14
\n" ); document.write( "xy=-12
\n" ); document.write( "Rewrite the second equation as:
\n" ); document.write( "x=-12/y
\n" ); document.write( "Plug this into the first:
\n" ); document.write( "6(-12/y)+8y=14
\n" ); document.write( "Multiply by y:
\n" ); document.write( "-72+8y^2=14y
\n" ); document.write( "Rearrange:
\n" ); document.write( "8y^2-14y-72=0
\n" ); document.write( "Factor this as:
\n" ); document.write( "2(4y+9)(y-4)=0
\n" ); document.write( "Solve for y:
\n" ); document.write( "y=4
\n" ); document.write( "y=-9/4
\n" ); document.write( "Plug 4 into the original equation:
\n" ); document.write( "x=-3
\n" ); document.write( "The other is:
\n" ); document.write( "x=16/3
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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