document.write( "Question 453113: Solve by elimination by addition.
\n" ); document.write( "6x-5y=33
\n" ); document.write( "{
\n" ); document.write( "4x+4y=44 \n" ); document.write( "

Algebra.Com's Answer #311349 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve by elimination by addition.
\n" ); document.write( "6x - 5y = 33
\n" ); document.write( "4x + 4y = 44
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 4, multiply the 2nd equation by 5, resulting in:
\n" ); document.write( "24x - 20y = 132
\n" ); document.write( "20x + 20y = 220
\n" ); document.write( "------------------adding eliminates y, find x
\n" ); document.write( "44x = 1012
\n" ); document.write( "x = $\"352%2F44\"$
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( "Find y using the 2nd original equation:
\n" ); document.write( "4(8) + 4y = 44
\n" ); document.write( "32 + 4y = 44
\n" ); document.write( "4y = 44 - 32
\n" ); document.write( "4y = 12
\n" ); document.write( "y = $\"%2812%29%2F4\"$
\n" ); document.write( "y = 3
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 1st original equation
\n" ); document.write( "6(8) - 5(3) = 33
\n" ); document.write( "48 - 15 = 33
\n" ); document.write( " \n" ); document.write( "

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