3/7x - 4 = -1
A. x = -3
B. x = -7
C. x = 3
D. x = 7
3 answers
To solve for \( x \) in the equation:
\[ \frac{3}{7}x - 4 = -1 \]
First, add 4 to both sides:
\[ \frac{3}{7}x = -1 + 4 \]
This simplifies to:
\[ \frac{3}{7}x = 3 \]
Next, to isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \):
\[ x = 3 \cdot \frac{7}{3} \]
The \( 3 \) in the numerator and the \( 3 \) in the denominator cancel out:
\[ x = 7 \]
Thus, the solution is:
\[ \boxed{7} \]
The correct answer is D. \( x = 7 \).
Let's double-check the solution step-by-step for the equation
\[ \frac{3}{7}x - 4 = -1. \]
Add 4 to both sides:
\[ \frac{3}{7}x - 4 + 4 = -1 + 4 \]
This simplifies to:
\[ \frac{3}{7}x = 3. \]
To isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \):
\[ x = 3 \cdot \frac{7}{3}. \]
The \( 3 \) in the numerator and denominator cancel out:
\[ x = 7. \]
Therefore, the solution is indeed correct:
\[ \boxed{7}. \]
So, the answer is D. \( x = 7 \). If you have any further questions or need clarification, feel free to ask!
