document.write( "Question 322943: Find the values of x and y that solve the following system of equations:
\n" ); document.write( "8x+7y=12
\n" ); document.write( "-7x-4y=-2 \n" ); document.write( "

Algebra.Com's Answer #231285 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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+8x + 7y = 12
\n" ); document.write( "-7x - 4y = -2
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 4, multiply the 2nd equation by 7, results
\n" ); document.write( "+32x + 28y = 48
\n" ); document.write( "-49x - 28y = -14
\n" ); document.write( "---------------------addition eliminates y, find x
\n" ); document.write( "-17x + 0y = 34
\n" ); document.write( "x = $\"34%2F%28-17%29\"$
\n" ); document.write( "x = -2
\n" ); document.write( ":
\n" ); document.write( "Use the 1st original equation to find y
\n" ); document.write( "8(-2) + 7y = 12
\n" ); document.write( "-16 + 7y = 12
\n" ); document.write( "7y = 12 + 16
\n" ); document.write( "7y = 28
\n" ); document.write( "y = $\"28%2F7\"$
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd original equation:
\n" ); document.write( "-7(-2) - 4(4) = -2
\n" ); document.write( "14 - 16 = -2
\n" ); document.write( " \n" ); document.write( "

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