Question

1/7 x + 3/14 = 3 1/2​

Answer 1

Ответ:

ответ:х=23

Пошаговое объяснение:

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Answer 2

To solve for the variable x in the equation $\frac{1}{7}x + \frac{3}{14} = 3 \frac{1}{2}$, you can follow these steps:

Step 1: Convert the mixed number $3 \frac{1}{2}$ to an improper fraction.

$3 \frac{1}{2} = \frac{2 \cdot 3 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}$

So, the equation becomes:

$\frac{1}{7}x + \frac{3}{14} = \frac{7}{2}$

Step 2: Get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 14 in this case.

\begin{align*} 14 \left( \frac{1}{7}x + \frac{3}{14} \right) &= 14 \left( \frac{7}{2} \right) \\ 2x + 3 &= 49 \end{align*}

Step 3: Subtract 3 from both sides to isolate the term with x.

\begin{align*} 2x + 3 - 3 &= 49 - 3 \\ 2x &= 46 \end{align*}

Step 4: Divide both sides by 2 to solve for x.

\begin{align*} \frac{2x}{2} &= \frac{46}{2} \\ x &= 23 \end{align*}

So, the solution to the equation $\frac{1}{7}x + \frac{3}{14} = 3 \frac{1}{2}$ is $x = 23$.