document.write( "Question 752587: 1/2x+1/3y=13
\n" ); document.write( "1/5x=1/8y=5
\n" ); document.write( "solve the system of equations using the elimination of addition method.
\n" ); document.write( "Identify whether the system is intersecting, parallel or coincident lines. \n" ); document.write( "
Algebra.Com's Answer #458014 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1/2x + 1/3y = 13
\n" ); document.write( "1/5x + 1/8y = 5
\n" ); document.write( "multiply the 1st equation by 2, mult the 2nd equation by 5
\n" ); document.write( "x + 2/3y = 26
\n" ); document.write( "x + 5/8y = 25
\n" ); document.write( "---------------Subtraction eliminates x
\n" ); document.write( "2/3y - 5/8y = 1
\n" ); document.write( "mult equation by 24 to get rid of those annoying fractions
\n" ); document.write( "16y - 15y = 24
\n" ); document.write( "y = 24
\n" ); document.write( "Find x
\n" ); document.write( "x + 5/8(24) = 25
\n" ); document.write( "x + 15 = 25
\n" ); document.write( "x = 25 - 15
\n" ); document.write( "x = 10
\n" ); document.write( ":
\n" ); document.write( "Intersects at 10, 24
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 1st original equation
\n" ); document.write( "1/2x + 1/3y = 13
\n" ); document.write( "1/2(10) + 1/3(24) = 13
\n" ); document.write( "5 + 8 = 13, confirms our solution
\n" ); document.write( " \n" ); document.write( "
\n" );