<em>3/4 is the total.</em>
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<em>See attached image for explanation.</em>
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<em>Please consider marking "Brainliest". </em>
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<em>Thanks <3</em>
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Solution:
1x +2x -7 =0
3x-7=0
Add 7 To Both Sides Of The Equal Sign Then Divide By 3
Answer: it will take 5 months for both gyms to cost the same.
Step-by-step explanation:
Let x represent the number of months for which the total cost of gyms are the same.
Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be
20x + 65
Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.
20% of 35 is 20/100 × 35 = 7
The monthly charge would be
35 - 7 = 28
This means that the cost of using gym A for x months would be
28x + 25
The number of months that it will take for the cost of both gyms to be the same would be
20x + 65 = 28x + 25
28x - 20x = 65 - 25
8x = 40
x = 40/8 = 5
(x , y) = (7, - 1)
2x + 3y = 11 → (1)
3x + 3y = 18 → (2)
subtracting (1) from (2) term by term eliminates the y- term
(3x - 2x) + (3y - 3y) = (18 - 11)
x + 0 = 7 ⇒ x = 7
substitute x = 7 into either of the 2 equations and solve for y
(1) → (2 × 7) + 3y = 11
14 + 3y = 11
subtract 14 from both sides
3y = 11 - 14 = - 3
divide both sides by 3
= - 1
solution is (7 , -1)