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 infinite solutions. The equation has infinite solutions. The equation has no solution. The equation has no solution.
To solve for x, we need to simplify the equation:
11x = 3(7x - 1) - 10x
Expanding the brackets, we get:
11x = 21x - 3 - 10x
Combining like terms, we have:
11x = 11x - 3
Subtracting 11x from both sides, we get:
0 = -3
Since this is not a true statement (0 does not equal -3), the equation has no solution.
Therefore, the correct response is: The equation has no solution.
To solve for x in the equation 11x = 3(7x-1) - 10x, we will simplify and solve for x:
Step 1: Distribute 3 to the terms inside the parentheses:
11x = 21x - 3 - 10x
Step 2: Combine like terms:
11x = 21x - 10x - 3
Step 3: Combine the x terms:
11x = 11x - 3
Step 4: Subtract 11x from both sides to isolate the constant term:
0 = -3
Step 5: We can see that 0 is not equal to -3, so the equation has no solution.
Therefore, the correct response is: The equation has no solution.
To solve the equation 11x = 3(7x - 1) - 10x, we need to simplify the expression on both sides and solve for x.
First, distribute the 3 to the terms inside the parentheses:
11x = 21x - 3 - 10x
Next, combine like terms on the right-hand side of the equation:
11x = 11x - 3
Now, subtract 11x from both sides:
11x - 11x = -3
This simplifies to:
0 = -3
Since 0 does not equal -3, we have reached a contradiction. This means that the equation has no solution.
Hence, the correct response is: The equation has no solution.