document.write( "Question 4544: How do I solve 3x-5y=-11 and x+2y=6 algebraically?
\n" ); document.write( " 2x+y=-3 3x+y=8 \n" ); document.write( "
Algebra.Com's Answer #2115 by glitzgirl_14(11)\"\" \"About 
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3x-5y=-11
\n" ); document.write( "2x+y=-3
\n" ); document.write( "Solve the second equation for y:
\n" ); document.write( "y=-2x-3
\n" ); document.write( "Put that equation in the first equation for y:
\n" ); document.write( "3x-5(-2x-3)= -11
\n" ); document.write( "Distributive property:
\n" ); document.write( "3x+10x+15= -11
\n" ); document.write( "Combine like terms:
\n" ); document.write( "13x+15= -11
\n" ); document.write( "13x= -26
\n" ); document.write( "x=-2
\n" ); document.write( "Put -2 in for x in 'y=-2x-3':
\n" ); document.write( "y=-2* -2 -3
\n" ); document.write( "y=4-3
\n" ); document.write( "y=1\r
\n" ); document.write( "\n" ); document.write( "x+2y = 6
\n" ); document.write( "3x+y = 8
\n" ); document.write( "Solve the first equation for x:
\n" ); document.write( "x=-2y +6
\n" ); document.write( "Put that equation into the second equation for x:
\n" ); document.write( "3(-2y+6)+y = 8
\n" ); document.write( "-6y+18+y=8
\n" ); document.write( "-5y+18=8
\n" ); document.write( "-5y=-10
\n" ); document.write( "y=2
\n" ); document.write( "put 2 in for y in the first equation solved for x:
\n" ); document.write( "x=-2*2+6
\n" ); document.write( "x= -4+6
\n" ); document.write( "x= 2 \n" ); document.write( "
\n" );