document.write( "Question 186832: I still need some help graphing
\n" ); document.write( "4x + 5y = -2
\n" ); document.write( "4y - x = 11
\n" ); document.write( "THANKS SO MUCH. \n" ); document.write( "

Algebra.Com's Answer #140070 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"4x+%2B+5y+=+-2+\"$ ---->EQN 1
\n" ); document.write( " $\"4y+-+x+=+11\"$ -----> EQN 2
\n" ); document.write( "Based on Slope-Intercept Form: $\"system%28y=mx%2Bb%29\"$
\n" ); document.write( "In EQN 1: $\"5y=-4x-2\"$ ---> $\"cross%285%29y%2Fcross%285%29=%28-4x-2%29%2F5\"$
\n" ); document.write( " $\"y=%28-4%2F5%29x-2%2F5\"$ , EQN 1.1
\n" ); document.write( "Let fy=0
\n" ); document.write( " $\"0=%28-4%2F5%29x-2%2F5\"$ ----> $\"%284%2F5%29x=-2%2F5\"$
\n" ); document.write( " $\"cross%284%2F5%29x%2Fcross%284%2F5%29=%28-2%2F5%29%2F%284%2F5%29=%28-2%2F5%29%285%2F4%29\"$
\n" ); document.write( " $\"x=-2%2F4=-1%2F2\"$ , X-Intercept
\n" ); document.write( "Let fx=0:
\n" ); document.write( " $\"y=%28-4%2F5%29%280%29-2%2F5=-2%2F5\"$ , Y-Intercept
\n" ); document.write( ".
\n" ); document.write( "In EQN 2:
\n" ); document.write( " $\"4y=x%2B11\"$ ---> $\"cross%284%29y%2Fcross%284%29=%28x%2B11%29%2F4\"$
\n" ); document.write( " $\"y=%281%2F4%29x%2B11%2F4\"$ , EQN 2.2
\n" ); document.write( "Let fy=0:----> $\"0=%281%2F4%29x%2B11%2F4\"$
\n" ); document.write( " $\"%281%2F4%29x=-11%2F4\"$ ----> $\"cross%281%2F4%29x%2Fcross%281%2F4%29=%28-11%2F4%29%2F%281%2F4%29\"$
\n" ); document.write( " $\"x=-11\"$ , X-Intercept
\n" ); document.write( "Let fx=0:----> $\"y=%281%2F4%29%280%29%2B11%2F4=11%2F4\"$ , Y-Intercept
\n" ); document.write( ".
\n" ); document.write( "In EQN 2: By Substitution,
\n" ); document.write( " $\"4y-11=x\"$ ----->EQN 3, subst. in EQN 1
\n" ); document.write( " $\"4%284y-11%29%2B5y=-2\"$
\n" ); document.write( " $\"16y-44%2B5y=-2\"$
\n" ); document.write( " $\"21y=-2%2B44=42\"$ ----> $\"cross%2821%29y%2Fcross%2821%29=cross%2842%292%2Fcross%2821%29\"$
\n" ); document.write( " $\"highlight%28y=2%29\"$ , Subst. in EQN 3:
\n" ); document.write( " $\"x=4%2A2-11=8-11\"$
\n" ); document.write( " $\"highlight%28x=-3%29\"$
\n" ); document.write( "POINT OF INTERSECTION (-3,2)
\n" ); document.write( "We'll see the graph:
\n" ); document.write( "--->RED, EQN 1; GREEN, EQN 2
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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