casey wants to buy a gym memebership. One gym has a $80 joining fee and cost $35 per month. Another gym has no joining fee and costs 75$ per month. When would casey pay the same amount to be a member of either gym? how much would she pay?

they cost the same after 2 months

Step-by-step explanation:

Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:

35x + 80 = 75x (the 1st gym with a joining fee $80 and 35 monthly equals $75 monthly)

Subtract 35x from both sides:

35x - 35x + 80 = 75x - 35x

80 = 40x

Divide by 40:

80 / 40 = 40x / 40

2 = x

So they cost the same after 2 months

35 * 2 + 80 = 75 * 2

150 = 150

And you'll be spending $150 in total.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2