document.write( "Question 167383: solve each system by substitution
\n" ); document.write( "1)4y=3x+6
\n" ); document.write( " 2x-3y=-5\r
\n" ); document.write( "\n" ); document.write( "2)5x-3y=1
\n" ); document.write( " 2x-3y=-5 \n" ); document.write( "

Algebra.Com's Answer #123287 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) $\"4y=3x%2B6\"$ ------------> EQN 1
\n" ); document.write( " $\"2x-3y=-5\"$ ------------> EQN 2
\n" ); document.write( "On EQN 1,
\n" ); document.write( " $\"4y=3x%2B6\"$ ---> $\"cross%284%29y%2Fcross%284%29=%283x%2B6%29%2F4\"$
\n" ); document.write( " $\"y=%283%2F4%29%28x%29%2B%286%2F4%29\"$ , reduced ----> $\"y=%283%2F4%29x%2B%283%2F2%29\"$ --> Subst. in EQN 2
\n" ); document.write( " $\"2x-3%28%283%2F4%29x%2B%283%2F2%29%29=-5\"$
\n" ); document.write( " $\"2x-%289%2F4%29x-%289%2F2%29=-5\"$
\n" ); document.write( " $\"%288x-9x%29%2F4=-5%2B%289%2F2%29\"$ , combine similar terms, add/subtract
\n" ); document.write( " $\"%28-1x%2F4%29=%28-10%2B9%29%2F2\"$
\n" ); document.write( " $\"%28-1%2F4%29x=%28-1%2F2%29\"$ --> $\"cross%28-1%2F4%29x%2Fcross%28-1%2F4%29=%28-1%2F2%29%2F%28-1%2F4%29\"$
\n" ); document.write( " $\"x=%28-1%2Fcross%282%291%29%28cross%28-4%292%2F1%29\"$
\n" ); document.write( " $\"highlight%28x=2%29\"$
\n" ); document.write( "Via EQn 1: $\"4y=3%282%29%2B6\"$
\n" ); document.write( " $\"cross%284%29y%2Fcross%284%29=%286%2B6%29%2F4=12%2F4=3\"$ --> $\"highlight%28y=3%29\"$
\n" ); document.write( "Check via EQN 1:
\n" ); document.write( " $\"4%283%29=3%282%29%2B6\"$
\n" ); document.write( " $\"12=6%2B6\"$
\n" ); document.write( " $\"12=12\"$ , good
\n" ); document.write( ".
\n" ); document.write( "2) $\"5x-3y=1\"$ ----------> EQN 3
\n" ); document.write( " $\"2x-3y=-5\"$ -----------> EQN 4
\n" ); document.write( "On EQN 3:
\n" ); document.write( " $\"5x=3y%2B1\"$ ----> $\"cross%285%29x%2Fcross%285%29=%283y%2B1%29%2F5\"$
\n" ); document.write( " $\"x=%283%2F5%29y%2B%281%2F5%29\"$ ---> subst. in EQN 4
\n" ); document.write( " $\"2%28%283%2F5%29%28y%29%2B%281%2F5%29%29-3y=-5\"$
\n" ); document.write( " $\"%286%2F5%29y%2B%282%2F5%29-3y=-5\"$ , combine similar terms
\n" ); document.write( " $\"%282%2F5%29%2B5=3y-%286y%2F5%29\"$
\n" ); document.write( " $\"%282%2B25%29%2F5=%2815y-6y%29%2F5\"$
\n" ); document.write( " $\"27%2F5=9y%2F5\"$
\n" ); document.write( " $\"cross%289%2F5%29y%2Fcross%289%2F5%29=%2827%2F5%29%2F%289%2F5%29\"$
\n" ); document.write( " $\"y=%2827%2Fcross%285%29%29%28cross%285%29%2F9%29=highlight%2827%2F9=3=y%29\"$
\n" ); document.write( "Via EQN 3:
\n" ); document.write( "

\n" ); document.write( " $\"highlight%28x=2%29\"$
\n" ); document.write( "check Via EQN 4:
\n" ); document.write( " $\"2%282%29-3%2827%2F9%29=-5\"$
\n" ); document.write( " $\"4-cross%283%291%2827%2Fcross%289%293%29=-5\"$
\n" ); document.write( " $\"4-9=-5\"$
\n" ); document.write( " $\"-5=-5\"$ , good
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );