document.write( "Question 1103262: Solve the system of equations -2x-2y=−4 and 4x+3y=11 by combining the equations \n" ); document.write( "
Algebra.Com's Answer #717960 by richwmiller(17219)\"\" \"About 
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combining the equations is also known as adding and subtracting equations as well as the elimination method.
\n" ); document.write( "1) -2x-2y=−4
\n" ); document.write( "2) 4x+3y=11
\n" ); document.write( "We notice that if we multiply the first equation by 2 we can then add the new equation 3) and 2) to eliminate x
\n" ); document.write( "3) -4x-4y=−8
\n" ); document.write( "2) 4x+3y=11
\n" ); document.write( "-y=3
\n" ); document.write( "y=-3
\n" ); document.write( "substitute -3 in 2)
\n" ); document.write( "4x+3y=11
\n" ); document.write( "4x+3(-3)=11
\n" ); document.write( "4x-9=11
\n" ); document.write( "4x=20
\n" ); document.write( "x=5
\n" ); document.write( "check in 1)
\n" ); document.write( "-2x-2y=−4
\n" ); document.write( "-2(5)-2(-3)=-4
\n" ); document.write( "-10+6=-4
\n" ); document.write( "-4=-4
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( "
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