7 of 117 of 11 Items

Question

Question
The equation 4/5x−5=14
is solved as follows. Enter the correct numbers to complete the solution.(2 points)
4/5x−5=14

4/5x=

Add 5 to both sides of the equation. If the number is an improper fraction, enter the improper fraction.

x=
Divide both sides of the equation by 4/5
. If the number is an improper fraction, enter the improper fraction.

Skip to navigation

Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To solve the equation \( \frac{4}{5}x - 5 = 14 \), we follow these steps:

1. Start with the original equation: \[ \frac{4}{5}x - 5 = 14 \]

2. Add 5 to both sides: \[ \frac{4}{5}x = 14 + 5 \] \[ \frac{4}{5}x = 19 \]

   So the first number to complete the solution is \( 19 \).

3. Now, to solve for \( x \), divide both sides by \( \frac{4}{5} \): \[ x = \frac{19}{\left(\frac{4}{5}\right)} \] Dividing by a fraction is the same as multiplying by its reciprocal: \[ x = 19 \cdot \frac{5}{4} = \frac{95}{4} \]

   Thus, the second number to complete the solution is \( \frac{95}{4} \).

So, the completed solution is:

1. \( \frac{4}{5}x = 19 \)
2. \( x = \frac{95}{4} \)