document.write( "Question 713607: Solve each system using elimination. \r
\n" ); document.write( "\n" ); document.write( "3x+6y=42
\n" ); document.write( "-7x+8y= -109 \n" ); document.write( "

Algebra.Com's Answer #438518 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve each system using elimination.
\n" ); document.write( "3x + 6y = 42
\n" ); document.write( "-7x+ 8y = -109
\n" ); document.write( ":
\n" ); document.write( "First simplify the first equation, divide thru by 3
\n" ); document.write( "x + 2y = 14
\n" ); document.write( "Then multiply by 7 and add to the 2nd equation
\n" ); document.write( "7x + 14y = 98
\n" ); document.write( "-7x + 8y = -109
\n" ); document.write( "-------------------adding eliminates x, find y
\n" ); document.write( "0 + 22y = -11
\n" ); document.write( "y = -11/22
\n" ); document.write( "y = - $\"1%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "Find x using x + 2y = 14
\n" ); document.write( "x + 2(-1/2) = 14
\n" ); document.write( "x - 1 = 14
\n" ); document.write( "x = 14 + 1
\n" ); document.write( "x = 15
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation -7x + 8y = -109
\n" ); document.write( "-7(15) +8(-1/2) = -109
\n" ); document.write( "-105 - 4 = -109 \n" ); document.write( "

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