Solve for x to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x(1 point)
Responses
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−1.
The equation has one solution: x equals negative 1 .
The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .
The equation has no solution.
The equation has one solution: x=−3.
To determine if the equation has one, none, or infinite solutions, we need to solve for x.
Given equation: 11x = 3(7x - 1) - 10x
Step 1: Distribute on the right side of the equation
11x = 21x - 3 - 10x
Step 2: Simplify the equation
11x = 11x - 3
Step 3: Subtract 11x from both sides of the equation
0 = -3
The equation 0 = -3 is not true, which means there are no solutions for x.
Therefore, the equation has no solution.