document.write( "Question 147860: The difference of two numbers is 77. The second is 7 less than 5 times the first. What are the two numbers?\r
\n" );
document.write( "\n" );
document.write( "Can some one please help out with this question?
\n" );
document.write( "v/r
\n" );
document.write( "Jess \n" );
document.write( "
Algebra.Com's Answer #108233 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let the two numbers be x & y \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"The difference of two numbers is 77.\" \n" ); document.write( " x - y = 77 \n" ); document.write( "or \n" ); document.write( " x = (y + 77) \n" ); document.write( "; \n" ); document.write( "\" The second is 7 less than 5 times the first.\" \n" ); document.write( "y = 5x - 7 \n" ); document.write( ": \n" ); document.write( "What are the two numbers? \n" ); document.write( ": \n" ); document.write( "Substitute (y+77) for x in the above equation, find y: \n" ); document.write( "y = 5(y+77) - 7 \n" ); document.write( ": \n" ); document.write( "y = 5y + 385 - 7 \n" ); document.write( ": \n" ); document.write( "y - 5y = 378 \n" ); document.write( ": \n" ); document.write( "-4y = 378 \n" ); document.write( "y = \n" ); document.write( "y = -94.5 is the 2nd number \n" ); document.write( ": \n" ); document.write( "then \n" ); document.write( "x = -94.5 + 77 \n" ); document.write( ": \n" ); document.write( "x = -17.5 is the 1st number \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"The second is 7 less than 5 times the first.\" \n" ); document.write( " -94.5 = 5(-17.5) - 7 \n" ); document.write( " -94.5 = -87.5 - 7; confirms our solutions \n" ); document.write( " |