Question

6 4/7- x= 13 2/7-8 4/7

Answer 1

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Answer 2

To solve the equation $6 \frac{4}{7} - x = 13 \frac{2}{7} - 8 \frac{4}{7}$, you can follow these steps:

Step 1: Subtract the mixed numbers on the right side of the equation: $13 \frac{2}{7} - 8 \frac{4}{7} = 5 \frac{2}{7}$.

Step 2: Substitute the result back into the equation: $6 \frac{4}{7} - x = 5 \frac{2}{7}$.

Step 3: To isolate the variable $x$, subtract $6 \frac{4}{7}$ from both sides of the equation: \begin{align*} 6 \frac{4}{7} - x - 6 \frac{4}{7} &= 5 \frac{2}{7} - 6 \frac{4}{7}\\ -x &= -1 \frac{2}{7} \end{align*}.

Step 4: To get the value of $x$, multiply both sides by -1 (to make $x$ positive): \begin{align*} -x &= -1 \frac{2}{7}\\ x &= 1 \frac{2}{7} \end{align*}.

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