What is the solution of the equation 2/5x + 4 = 1/5?

A. −19/2

B. 21/2

C. −2/19

D. −38/25

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To solve the equation 2/5x + 4 = 1/5, we can first subtract 4 from both sides of the equation to isolate the term with the variable.

2/5x + 4 - 4 = 1/5 - 4

This simplifies to:

2/5x = 1/5 - 20/5

Now, we can subtract the fractions on the right side of the equation:

2/5x = -19/5

Next, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

(5/2)(2/5x) = (5/2)(-19/5)

This simplifies to:

x = -19/2

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.

The correct answer is A. −19/2.

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