document.write( "Question 443289: Solve this system using elimination : 2x=5y 3y+x=-11\r
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Algebra.Com's Answer #305870 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve this system using elimination :
\n" ); document.write( " 2x = 5y
\n" ); document.write( " 3y + x = -11
\n" ); document.write( "Rewrite the equations to:
\n" ); document.write( "2x - 5y = 0
\n" ); document.write( " x + 3y = -11
\n" ); document.write( ":
\n" ); document.write( "multiply the 2nd equation by -2, results:
\n" ); document.write( "+2x - 5y = 0
\n" ); document.write( "-2x - 6y = 22
\n" ); document.write( "----------------addition eliminates x, find y
\n" ); document.write( "0 + -11y = 22
\n" ); document.write( "y = $\"22%2F%28-11%29\"$
\n" ); document.write( "y = -2
\n" ); document.write( ":
\n" ); document.write( "Find x using the 1st equation
\n" ); document.write( "2x - 5(-2) = 0
\n" ); document.write( "2x + 10 = 0
\n" ); document.write( "2x = -10
\n" ); document.write( "x = $\"%28-10%29%2F2\"$
\n" ); document.write( "x = -5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 1st original equation
\n" ); document.write( " 3y + x = -11
\n" ); document.write( " 3(-2) - 5 = -11
\n" ); document.write( " -6 - 5 = -11; confirms our solutions of x=-5, y=-2 \n" ); document.write( "

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