document.write( "Question 85505: How do I solve algebraically? y=5x+6 and 2x-5y=16. I cannot figure this one out. \n" ); document.write( "
Algebra.Com's Answer #61731 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do I solve algebraically? y=5x+6 and 2x-5y=16.
\n" ); document.write( "--------
\n" ); document.write( "You need to assume the \"y\" in the two equations mean the same number.
\n" ); document.write( "Then you substitute the value of y (y=5x+6) into the other equation
\n" ); document.write( "so you can solve for \"x\".
\n" ); document.write( "You get: 2x-5(5x+6)=16
\n" ); document.write( "2x-25x-30=16
\n" ); document.write( "-23x = 46
\n" ); document.write( "x=-2
\n" ); document.write( "----------
\n" ); document.write( "Then you substitute that value of x into \"y=5x+6\" so you can solve
\n" ); document.write( "for \"y\".
\n" ); document.write( "y=5*-2+6
\n" ); document.write( "y=-10+6
\n" ); document.write( "y=-4
\n" ); document.write( "-------------
\n" ); document.write( "So the solution is x=-2, y=-4
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );