document.write( "Question 1108061: Using elimination method what is x and y in the equation:\r
\n" ); document.write( "\n" ); document.write( "2x/3 + y/6 = 1
\n" ); document.write( "x/6 - y/2 = 1
\n" ); document.write( "

Algebra.Com's Answer #723072 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
1) 2x/3 + y/6 = 1
\n" ); document.write( ":
\n" ); document.write( "2) x/6 - y/2 = 1
\n" ); document.write( ":
\n" ); document.write( "rewrite equations 1 and 2 using the least common multiple of the divisors
\n" ); document.write( ":
\n" ); document.write( "3) 4x + y = 6
\n" ); document.write( ":
\n" ); document.write( "4) x - 3y = 6
\n" ); document.write( ":
\n" ); document.write( "multiply equation 3 by 3
\n" ); document.write( ":
\n" ); document.write( "5) 12x + 3y = 18
\n" ); document.write( ":
\n" ); document.write( "add equation 5 and equation 4
\n" ); document.write( ":
\n" ); document.write( "13x = 24
\n" ); document.write( "x = 24/13
\n" ); document.write( ":
\n" ); document.write( "use equation 2 to solve for y
\n" ); document.write( ":
\n" ); document.write( "(24/13) * (1/6) - y/2 = 1
\n" ); document.write( ":
\n" ); document.write( "(4/13) - y/2 = 1
\n" ); document.write( ":
\n" ); document.write( "-y/2 = 9/13
\n" ); document.write( ":
\n" ); document.write( "y = -18/13
\n" ); document.write( ":
\n" ); document.write( "*************************************
\n" ); document.write( "x = 24/13 and y = -18/13
\n" ); document.write( ":
\n" ); document.write( "check answer with equation 1
\n" ); document.write( ":
\n" ); document.write( "(2/3) * (24/13) + (1/6) * (-18/13) = 1
\n" ); document.write( ":
\n" ); document.write( "(16/13) - (3/13) = 1
\n" ); document.write( ":
\n" ); document.write( "1 = 1
\n" ); document.write( ":
\n" ); document.write( "check answer in equation 2
\n" ); document.write( ":
\n" ); document.write( "(1/6) * (24/13) - (1/2) * (-18/13) = 1
\n" ); document.write( ":
\n" ); document.write( "(4/13) + (9/13) = 1
\n" ); document.write( ":
\n" ); document.write( "1 = 1
\n" ); document.write( ":
\n" ); document.write( "answer checks
\n" ); document.write( "*************************************
\n" ); document.write( ":
\n" ); document.write( "
\n" );