Solve Two-Step Linear Equations Quick Check

Question

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