Adam solved this equation and identified the number of solutions.

24x – 22 = 4(6x – 1)

24x – 22 = 24x – 4

24x = 24x + 18

0 = 18

The equation has infinitely many solutions.

When Adam verified his answer, it didn’t work. What was his mistake?

He used the distributive property incorrectly in the first step.
He used the addition property of equality incorrectly in the second step.
He should have found that the equation has one solution of x = 18.
He should have found that there are no solutions because the statement is false.

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.