document.write( "Question 260483: three times one number equals twice a second number. twice the first number is 3 more than the second number. find the numbers \n" ); document.write( "
Algebra.Com's Answer #191877 by dabanfield(803)\"\" \"About 
You can put this solution on YOUR website!
three times one number equals twice a second number. twice the first number is 3 more than the second number. find the numbers\r
\n" ); document.write( "\n" ); document.write( "Let x be the first and y the second number.\r
\n" ); document.write( "\n" ); document.write( "Then we have:\r
\n" ); document.write( "\n" ); document.write( "1.) 3*x = 2*y
\n" ); document.write( "2.) 2*x = y + 3\r
\n" ); document.write( "\n" ); document.write( "Solve by substitution:
\n" ); document.write( "From 2.) we know that y = 2*x - 3\r
\n" ); document.write( "\n" ); document.write( "Substitute 2x - 3 for y in equation 1.)\r
\n" ); document.write( "\n" ); document.write( "3x = 2*(2x-3)\r
\n" ); document.write( "\n" ); document.write( "Solve the above for x. Then calculate y = 2x - 3.
\n" ); document.write( "
\n" );