document.write( "Question 174146: 2x-5y=-6
\n" ); document.write( "8x+3y=68
\n" ); document.write( "solve the system of equations and enter the solution as an ordered pair. \n" ); document.write( "

Algebra.Com's Answer #129067 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"2x-5y=-6+\"$ ------------>EQN 1, $\"y=%282x%2B6%29%2F5=%282%2F5%29x%2B%286%2F5%29\"$
\n" ); document.write( " $\"8x%2B3y=68\"$ ------------->EQN 2, $\"y=%28-8x%2B68%29%2F3=%28-8%2F3%29x%2B%2868%2F3%29\"$
\n" ); document.write( "In EQN 1 we get:
\n" ); document.write( " $\"2x=5y-6\"$ , transpose terms and isolate \"x\"
\n" ); document.write( " $\"cross%282%29x%2Fcross%282%29=%285y-6%29%2F2\"$ , divide the whole eqn by 2
\n" ); document.write( " $\"x=%285%2F2%29y-%286%2F2%29=%285%2F2%29y-3\"$ --------------> EQN 3
\n" ); document.write( "Subst. EQN 3 in EQN 2:
\n" ); document.write( " $\"8%28%285%2F2%29y-3%29%2B3y=68\"$
\n" ); document.write( " $\"%2840%2F2%29y-24%2B3y=68\"$
\n" ); document.write( " $\"20y-24%2B3y=68\"$ , combine similar terms
\n" ); document.write( " $\"23y=68%2B24=92\"$
\n" ); document.write( " $\"cross%2823%29y%2Fcross%2823%29=cross%2892%294%2Fcross%2823%29\"$
\n" ); document.write( " $\"highlight%28y=4%29\"$ , subst. in EQN 3:
\n" ); document.write( " $\"x=%285%2F2%29%284%29-3=%2820%2F2%29-3=10-3\"$
\n" ); document.write( " $\"highlight%28x=7%29\"$
\n" ); document.write( "So the ordered pair -----> (7,4)
\n" ); document.write( "Let's see the graph:
\n" ); document.write( "
\n" ); document.write( "Thanky ou,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );