document.write( "Question 203697: I keep having issues with these type of problems. Please help!\r
\n" ); document.write( "\n" ); document.write( " x+5y= 9
\n" ); document.write( "3x- y=-5\r
\n" ); document.write( "\n" ); document.write( "Thank you!!
\n" ); document.write( "

Algebra.Com's Answer #153681 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
1) x+5y = 9,,,,,or x=9-5y
\n" ); document.write( "2) 3x -y =-5
\n" ); document.write( ".
\n" ); document.write( "using substitution,,,subst (1) into (2)
\n" ); document.write( ".
\n" ); document.write( "3(9-5y) -y = -5
\n" ); document.write( "27 -15y -y = -5
\n" ); document.write( "-16y = -32
\n" ); document.write( "y= 2
\n" ); document.write( ".
\n" ); document.write( "subst in (1),,,x= 9 -5(2) = -1
\n" ); document.write( ".
\n" ); document.write( "check,,,(1) (-1) +5(2) = 9,,,,ok
\n" ); document.write( "(2) 3(-1) -(2) = -5,,,,,ok
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( "another technique is to multiply equations until adding or substracting them eliminates one variable
\n" ); document.write( ".
\n" ); document.write( "Multiply (2) by 5,,,(2) 15x-5y = -25
\n" ); document.write( "(1) x+5y=9
\n" ); document.write( ".
\n" ); document.write( "adding (1) + (2),,,,16x = -16,,,,x=-1
\n" ); document.write( ".
\n" ); document.write( "subst in (1) (-1) +5y = 9,,,5y = 10,,,y=2
\n" ); document.write( ".
\n" ); document.write( "the other technique is to graph both and note intersection.
\n" ); document.write( ".
\n" ); document.write( "Have a good day
\n" ); document.write( "
\n" ); document.write( "
\n" );