Question

Solve Two-Step Linear Equations Quick Check
4 of 54 of 5 Items



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

x=−7
x equals negative 7

x=7
x equals 7

x=3
x equals 3

x=−3

Answer 1

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 \( \frac{7}{3} \):**
\[
x = 3 \cdot \frac{7}{3}
\]
The 3s cancel out:
\[
x = 7
\]

Thus, the solution is \( x = 7 \).

The correct response is:
**x = 7**