SOLUTION: Write a system of equations to describe the situation below, solve using substitution. A rental car company is running two specials. Customers can pay $19 to rent a compact car for

Question 1005469: Write a system of equations to describe the situation below, solve using substitution. A rental car company is running two specials. Customers can pay $19 to rent a compact car for the first day plus $14 for each additional day, or they can rent the same car for $51 the first day and $6 for every additional day beyond that. Marshall notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Marshall want? How much would Marshall pay in total?

Answer by Bob10576(4) (Show Source): You can put this solution on YOUR website!
you can make equations that are equivalent and solve for x. using that x you can solve for the total amount of money.
19 + 14x = 51 + 6x

solve for x
minus 19 on the left
minus 6x on the right
14x - 6x = 51 - 19
8x = 31
8x = 31
x = 3.875
round up.
4 days.
check your work by plugging in 4 for x in the previous equation.
19 + 14(4) = 51 + 6(4)
75 = 75
this also gives you the amount Marshall had to pay.
money spent = 75

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