document.write( "Question 160343: -11x = 395 + y
\n" ); document.write( "14y = -634 - 10x \r
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\n" ); document.write( "\n" ); document.write( "I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help. \n" ); document.write( "
Algebra.Com's Answer #118301 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
-11x = 395 + y
\n" ); document.write( "14y = -634 - 10x
\n" ); document.write( ":
\n" ); document.write( "Any method is tedious here, arrange the equations, thusly:
\n" ); document.write( "-11x - y = 395
\n" ); document.write( "+10x +14y = -634
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 14
\n" ); document.write( "-154x - 14y = 5530
\n" ); document.write( "+ 10x + 14y = -634
\n" ); document.write( "---------------------addition eliminates y, find x
\n" ); document.write( "-144x + 0y = 4896
\n" ); document.write( "x = \"4896%2F%28-144%29\"
\n" ); document.write( "x = -34
\n" ); document.write( ":
\n" ); document.write( "Find y using the 2nd original equation
\n" ); document.write( "14y = -634 - 10(-34)
\n" ); document.write( "14y = -634 + 340
\n" ); document.write( "14y = -294
\n" ); document.write( "y = \"%28-294%29%2F14\"
\n" ); document.write( "y = -21
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 1st original equation:
\n" ); document.write( "-11x = 395 + y
\n" ); document.write( "-11(-34) = 395 + (-21)
\n" ); document.write( "+374 = 395 - 21
\n" ); document.write( "374 = 374; equality reigns
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