Question

Question

Solve for x
.
3/7x−4=−1
(1 point)
Responses

x=−7
x equals negative 7

x=−3
x equals negative 3

x=7
x equals 7

x=3

Answer 1

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

1. Add 4 to both sides to isolate the term with \(x\): \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] This simplifies to: \[ \frac{3}{7}x = 3 \]

2. Multiply both sides by \(\frac{7}{3}\) to solve for \(x\): \[ x = 3 \cdot \frac{7}{3} \] The \(3\) in the numerator and the denominator cancel out: \[ x = 7 \]

Therefore, the solution for \(x\) is: \[ \boxed{7} \]