document.write( "Question 386368: Please help me solve this word problem of two linear equations in two unknowns....word problem:\r
\n" ); document.write( "\n" ); document.write( "The sum of 2 numbers is 87. If twice the smaller number is subtracted from the larger number, the result is 12. Find the two numbers.\r
\n" ); document.write( "\n" ); document.write( "I tried:\r
\n" ); document.write( "\n" ); document.write( "x+y=87
\n" ); document.write( "2x-y=12......this equation doesnt work for the answers....What am I doing wrong?\r
\n" ); document.write( "\n" ); document.write( "the answer is .....62 for the larger...25 for the smaller
\n" ); document.write( "

Algebra.Com's Answer #273131 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
The sum of 2 numbers is 87. If twice the smaller number is subtracted from the larger number, the result is 12. Find the two numbers.\r
\n" ); document.write( "\n" ); document.write( "I tried:\r
\n" ); document.write( "\n" ); document.write( "x+y=87
\n" ); document.write( "2x-y=12......this equation doesnt work for the answers....What am I doing wrong?\r
\n" ); document.write( "\n" ); document.write( "the answer is .....62 for the larger...25 for the smaller
\n" ); document.write( "...
\n" ); document.write( "x+y =87
\n" ); document.write( "x-2y =12 ( this is the most common mistake of students)(2y is subtracted from x)
\n" ); document.write( "...
\n" ); document.write( "multiply first equation by -1
\n" ); document.write( "-x-y=-87
\n" ); document.write( "add it to second
\n" ); document.write( "-y-2y=-87+12
\n" ); document.write( "-3y=-75
\n" ); document.write( "/-3y
\n" ); document.write( "\"%28highlight%28y=25%29%29\"
\n" ); document.write( "87-25=62
\n" ); document.write( "\"%28highlight%28x=62%29%29\"
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( "
\n" );