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 one solution: x=−3.
The equation has one solution: , x equals negative 3, .
The equation has one solution: x=−1.
The equation has one solution: , x equals negative 1, .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x=-3. What a negative situation! But at least we found a solution, right?
To solve for x in the given equation, we can simplify the equation step-by-step:
11x = 3(7x - 1) - 10x
First, distribute the 3 to the terms inside the parentheses:
11x = 21x - 3 - 10x
Combine like terms on the right side:
11x = 21x - 10x - 3
Simplify further:
11x = 11x - 3
Next, subtract 11x from both sides:
11x - 11x = 11x - 11x - 3
This results in:
0 = -3
Since the equation simplifies to 0 = -3, which is not a true statement, we conclude that the equation has no solution.
To solve for x, we can simplify the equation as follows:
11x = 21x - 3 - 10x
11x = 11x - 3
0 = -3
The equation 0 = -3 is not true, so there is no solution for x. Therefore, the answer is "The equation has no solution."
solve for x to determine if the equation has one none of infinite solutions 5(2x+2)-4=2x+6
To solve for x in the equation 11x = 3(7x - 1) - 10x, we can start by simplifying both sides of the equation.
11x = 3(7x - 1) - 10x
First, distribute the 3 to the terms inside the parentheses:
11x = 21x - 3 - 10x
Next, combine like terms on the right side of the equation:
11x = 11x - 3
Now, subtract 11x from both sides of the equation to isolate the variable:
11x - 11x = -3
The x terms cancel out, leaving us with:
0 = -3
This equation is not possible since 0 can never equal -3. So, there is no solution to the equation.