What is the solution of the equation 2/5x+4=15?(1 point)

Question

Responses

−2/19
negative Start Fraction 2 over 19 End Fraction

−38/25
negative Start Fraction 38 over 25 End Fraction

21/2
Start Fraction 21 over 2 End Fraction

−19/2

Answer 1

To solve the equation \(\frac{2}{5}x + 4 = 15\), follow these steps:

1. Subtract 4 from both sides:

\[ \frac{2}{5}x = 15 - 4 \ \frac{2}{5}x = 11 \]

2. Multiply both sides by \(\frac{5}{2}\) to isolate \(x\):

\[ x = 11 \cdot \frac{5}{2} \ x = \frac{55}{2} \]

So the solution to the equation \( \frac{2}{5}x + 4 = 15 \) is \( \frac{55}{2} \).

None of the provided response options match this solution. Please check the question and options again.

Answer 2

the 15 is actualy sopost to be 1/5 ToT

Answer 3

No problem! Let's solve the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\) instead.

1. Subtract 4 from both sides:

\[ \frac{2}{5}x = \frac{1}{5} - 4 \]

To perform the subtraction, we need to express 4 as a fraction with a denominator of 5:

\[ 4 = \frac{20}{5} \]

So,

\[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} \ \frac{2}{5}x = \frac{1 - 20}{5} \ \frac{2}{5}x = \frac{-19}{5} \]

2. Now, multiply both sides by \(\frac{5}{2}\) to isolate \(x\):

\[ x = \frac{-19}{5} \cdot \frac{5}{2} \ x = \frac{-19}{2} \]

So the solution to the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\) is:

\[ x = -\frac{19}{2} \]

Therefore, the correct response from your options is:

−19/2 (negative Start Fraction 19 over 2 End Fraction).