Solve for x: x/7 = 7
Understand the Problem
The question is asking us to solve for x in the equation x/7 = 7. This involves isolating x by multiplying both sides of the equation by 7.
Answer
$x = 49$
Answer for screen readers
$x = 49$
Steps to Solve
- Write down the equation We start with the given equation.
$$ \frac{x}{7} = 7 $$
- Multiply both sides by 7 To isolate $x$, we multiply both sides of the equation by 7.
$$ \frac{x}{7} \cdot 7 = 7 \cdot 7 $$
- Simplify the equation Simplify both sides of the equation. On the left side, the 7 in the numerator and the 7 in the denominator cancel out, leaving $x$. On the right side, $7 \cdot 7$ equals 49.
$$ x = 49 $$
$x = 49$
More Information
The value of $x$ that satisfies the equation $\frac{x}{7} = 7$ is 49. If you divide 49 by 7, you get 7, which confirms our solution.
Tips
A common mistake is to divide both sides of the equation by 7 instead of multiplying. This would lead to $x/49 = 1$, and then $x = 49$ after multiplying both sides by 49. Although the answer is correct, dividing by 7 is the wrong operation, failing to isolate $x$ correctly on the left-hand side. Another mistake is to perform the multiplication $7 \cdot 7$ incorrectly, which would lead to an incorrect value for $x$.
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