Question

The equation the quantity x plus fifty all over two equals thirteen times x represents when two tutoring services with different rate plans charge the same fees for a session of x hours. solve for x. x = 2 x = 5 x = 9 x = 13

Answer 1

The value of x for the given equation (x + 50)/2 = 13x is 2.

According to the given question.

We have an equation (x + 50)/2 = 13x, which represents  when two tutoring services with different rate plans charge the same fees for a session of x hours.

So, we have to solve the given equation (x + 50)/2 = 13x  for x.

Therefore,

x + 50 = 2(13x)

⇒ x + 50 = 26x

⇒ 26x - x = 50

⇒ 25x = 50

⇒ x = 50/25

⇒ x = 2

Hence, the value of x for the given equation (x + 50)/2 = 13x is 2.

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