document.write( "Question 14287: The difference between two numbers is -38. Two times the smaller number minus five times the larger number is -217. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #7173 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
The difference between two numbers is -38. Two times the smaller number minus five times the larger number is -217. What are the two numbers?
\n" ); document.write( "Let x= smaller number
\n" ); document.write( "y=larger number\r
\n" ); document.write( "\n" ); document.write( "x-y=-38
\n" ); document.write( "2x-5y=-217
\n" ); document.write( "Now you have your equations; we will start with substitution; that means we will find the answer for one variable and substitute it in the equation to find the other variable.
\n" ); document.write( "We will start with the first equation;
\n" ); document.write( "x-y=-38
\n" ); document.write( "x=-38+y
\n" ); document.write( "Now substitute this equation for the x;
\n" ); document.write( "2(-38+y)-5y=-217
\n" ); document.write( "Distribute the 2;
\n" ); document.write( "-76+2y-5y=-217
\n" ); document.write( "Add 76 to both sides, andadd like terms;
\n" ); document.write( "2y-5y=-217+76
\n" ); document.write( "-3y=-141
\n" ); document.write( "divide each side by -3;
\n" ); document.write( "\"-3y%2F3=-141%2F-3\"
\n" ); document.write( "y=47
\n" ); document.write( "Now we have what y =;
\n" ); document.write( "x-47=-38
\n" ); document.write( "x=9
\n" ); document.write( "So we are finished;
\n" ); document.write( "y=47
\n" ); document.write( "x=9
\n" ); document.write( "Do not forget to check your answers!
\n" ); document.write( "Hope you understand
\n" ); document.write( "=)
\n" ); document.write( " \n" ); document.write( "
\n" );