Which of the following equations have an infinite solution set?
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The equation has infinite solutions is the last option:
6(x - 1) = 2*(3x - 3)
Any equation in which we can remove the variable has infinite solutions (because it does not depend on the value of x) only if the equation is true.
Let's look at the fourth equation:
6(x - 1) = 2*(3x - 3)
If we expand both sides, we will get:
6x - 6 = 2*3x - 2*3
6x - 6 = 6x - 6
So we have the exact same thing in both sides, if we remove 6x - 6 in both sides we will get:
0 = 0
Then this equation has infinite solutions.
If you want to learn more about equations:
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