document.write( "Question 178966: I need help please with this graphing problem by solving each system by addition\r
\n" ); document.write( "\n" ); document.write( "x-2y=-1
\n" ); document.write( "-x+5y=9
\n" ); document.write( "

Algebra.Com's Answer #133907 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
x-2y=-1.....eq 1
\n" ); document.write( "-x+5y=9.....eq 2
\n" ); document.write( ":
\n" ); document.write( "what you doing here is adding all the terms from eq1 to all the terms in eq 2
\n" ); document.write( ":
\n" ); document.write( "we can only put together like terms so x-x=0...so the x term is eliminated
\n" ); document.write( ":
\n" ); document.write( "-2y+5y=3y
\n" ); document.write( "-1+9=8
\n" ); document.write( ":
\n" ); document.write( "so we are left with 3y=8
\n" ); document.write( ":
\n" ); document.write( "3y=8
\n" ); document.write( ":
\n" ); document.write( "\"highlight%28y=8%2F3%29\"divided by 3 to isolate the variable y
\n" ); document.write( ":
\n" ); document.write( "now take y's found value and plug it back into either numbered equation
\n" ); document.write( "I choose eq 1
\n" ); document.write( ":
\n" ); document.write( "x-2(8/3)=-1
\n" ); document.write( ":
\n" ); document.write( "x-16/3=-1
\n" ); document.write( ":
\n" ); document.write( "3x-16=-3.....multiplied all terms by 3
\n" ); document.write( ":
\n" ); document.write( "3x=13
\n" ); document.write( ":
\n" ); document.write( "\"highlight%28x=13%2F3%29\"
\n" ); document.write( "
\n" );