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)![]() ![]() ![]() 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( " |