Question

Solve for x
to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x
(1 point)

The equation has one solution: x=−1
.

The equation has no solution.

The equation has infinite solutions.

The equation has one solution: x=−3
.

Answer 1

11x = 3(7x − 1) − 10x
11x = 21x − 3 − 10x
11x = 11x − 3
Subtract 11x from both sides: 0 = −3, which is impossible.

Therefore the equation has no solution.