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Customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan had paid $594. After 11 months, he had paid $989. Write and solve a linear equation to find the cost for installation

Answer :

absor201

Cost of installation fee is $120.

Step-by-step explanation:

Let,

Monthly fee = x

Installation fee = y

According to given statement;

6x+y=594   Eqn 1

11x+y=989   Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](11x+y)-(6x+y)=989-594\\11x+y-6x-y=395\\5x=395\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{395}{5}\\x=79\\[/tex]

Putting x=79 in Eqn 1

[tex]6(79)+y=594\\474+y=594\\y=594-474\\y=120[/tex]

Cost of installation fee is $120.

Keywords: Linear equations, subtraction

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