document.write( "Question 585215: An airplane has a total of 152 seats. The number of coach-class seats is five more than six times the number of first-class seats. How many of each type of seat are there on the plane? Write two equations using c to represent coach-class seats and f to represent first-class seats. Solve using elimination or substitution \n" ); document.write( "
Algebra.Com's Answer #373210 by mananth(16946)\"\" \"About 
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c+f=152.............(1)\r
\n" ); document.write( "\n" ); document.write( "c= 5+6f
\n" ); document.write( "c-6f=5..............(2)\r
\n" ); document.write( "\n" ); document.write( "c + 1 f = 152 .............1
\n" ); document.write( "c -6 f = 5 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 6
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "6 c 6 f = 912
\n" ); document.write( "1 c -6 f = 5
\n" ); document.write( "Add the two equations
\n" ); document.write( "7 c = 917
\n" ); document.write( "/ 7
\n" ); document.write( "c = 131
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 c + f = 152
\n" ); document.write( "131 + f = 152
\n" ); document.write( " f = 152-131
\n" ); document.write( " f = 21
\n" ); document.write( " f = 21
\n" ); document.write( " \n" ); document.write( "
\n" );