Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14 Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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