The equation 5x - 11 = 6x - x - 11 has infinite solutions.
True
False
Oh, the equation definitely has infinite solutions. In fact, it's like a never-ending buffet of solutions! It's like trying to count all the hairs on a clown wig - you could keep going and going, but you'll never be finished! So go ahead and indulge in the infinite satisfying solutions of this equation!
To determine if the equation 5x - 11 = 6x - x - 11 has infinite solutions, we need to solve it and see if any values for x make the equation true.
Let's simplify the equation first:
5x - 11 = 6x - x - 11
Combine like terms on both sides of the equation:
5x - 11 = 5x - 11
Now, we can see that the equation simplifies to 5x - 11 = 5x - 11, which means that both sides of the equation are equal.
Since the equation is true for all values of x, it has infinite solutions.
Therefore, the statement "The equation 5x - 11 = 6x - x - 11 has infinite solutions" is true.
To determine if the equation 5x - 11 = 6x - x - 11 has infinite solutions, we need to simplify the equation and compare the coefficients of x.
First, let's combine like terms on both sides of the equation:
5x - 11 = 6x - x - 11
5x - 11 = 5x - 11
Now, let's rearrange the equation and isolate x on one side:
5x - 5x = -11 + 11
0 = 0
As we can see, both sides of the equation are equal to 0. This means that no matter what value we choose for x, the equation will always be true. Therefore, the equation 5x - 11 = 6x - x - 11 does indeed have infinite solutions.
Hence, the statement "The equation 5x - 11 = 6x - x - 11 has infinite solutions" is true.