document.write( "Question 949879: hi, i am stuck on this word problem it has taken me all night, if you wouldn't mind helping me, for i can get an idea on what it is. thank you so so much here is the problem. this is systems using substitution.\r
\n" ); document.write( "\n" ); document.write( "your family is trying to decide between two cable companies. satellite systems charges $49 to set the service and $29 per month for basic cable. the other company, communications cable, charges $25 to set up the service and $37 per month for basic table.
\n" ); document.write( "a. in how many months will both services cost the same?
\n" ); document.write( "b.what will that cost be?
\n" ); document.write( "c. which systems should you choose if your family will only need the service for 6 months?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #579938 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
Let m be the # of months, C_s be the cost of satellite, and C_c be the cost of communications.\r
\n" ); document.write( "\n" ); document.write( "a)
\n" ); document.write( "C_s = 49 + 29m
\n" ); document.write( "C_c = 25 + 37m\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "C_s = C_c when 49 + 29m = 25 + 37m, or 24 = 8m --> m = 3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) That cost is 49 + 29*3 = $136 (alternatively 25 + 37*3 = $136).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c) You will save money with the satellite systems if you use it for 6 months (plug in m = 6).
\n" ); document.write( "
\n" );