document.write( "Question 453111: I need help
\n" ); document.write( "Solve by elimination by addition.
\n" ); document.write( " 7x-5y=52
\n" ); document.write( "{
\n" ); document.write( "2x+5y=47
\n" ); document.write( "

Algebra.Com's Answer #311351 by pedjajov(51)\"\" \"About 
You can put this solution on YOUR website!
This is a system of two linear equations with two variables:
\n" ); document.write( "7x-5y=52
\n" ); document.write( "2x+5y=47
\n" ); document.write( ":
\n" ); document.write( "We can add these two equations to form the third:
\n" ); document.write( "7x-5y+2x-5y=52+47, regroup
\n" ); document.write( "7x+2x+5y-5y=99, combine like terms
\n" ); document.write( "9x=99, divide by 9 both sides
\n" ); document.write( "x=11
\n" ); document.write( ":
\n" ); document.write( "Substitute x in one of the equations:
\n" ); document.write( "7*11-5y=52
\n" ); document.write( "77-5y=52, add 5y and subtract 52 on both sides
\n" ); document.write( "77-5y+5y-52=52-52+5y, regroup
\n" ); document.write( "77-52+5y-5y=5y, combine like terms and numbers
\n" ); document.write( "25=5y, divide by 5
\n" ); document.write( "y=5
\n" ); document.write( ":
\n" ); document.write( "Solutions are x=11, y=5\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );