Ask a New Question
Menu

Solve for x to determine if the equation has one, none, or infinite solutions.

11x = 3(7x - 1) - 10x (1 point)
• The equation has no solution.
• The equation has infinite solutions.
The equation has one solution:
x = -1.
. The equation has one solution:
Х = -3.

1 answer

To solve the equation \( 11x = 3(7x - 1) - 10x \), we will first simplify both sides.

  1. Expand the right side: \[ 11x = 3(7x - 1) - 10x \] \[ 11x = 21x - 3 - 10x \] \[ 11x = 21x - 10x - 3 \] \[ 11x = 11x - 3 \]

  2. Subtract \( 11x \) from both sides: \[ 11x - 11x = 11x - 3 - 11x \] \[ 0 = -3 \]

The equation \( 0 = -3 \) is a contradiction.

This means there are no values of \( x \) that can satisfy the equation.

Therefore, the conclusion is:

  • The equation has no solution.