To solve the equation \( \frac{3}{7}x - 4 = -1 \), follow these steps: 1. **Add 4 to both sides**: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \] 2. **Multiply both sides by the reciprocal of \( \frac{3}{7} \)**, which is \( \frac{7}{3} \): \[ x = 3 \times \frac{7}{3} \] 3. **Simplify**: \[ x = 7 \] So, the solution is: \[ \boxed{7} \]

3/7 x−4=−1

1 answer

To solve the equation \( \frac{3}{7}x - 4 = -1 \), follow these steps:

Add 4 to both sides: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \]
Multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \): \[ x = 3 \times \frac{7}{3} \]
Simplify: \[ x = 7 \]

So, the solution is: \[ \boxed{7} \]