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  infinite solutions

Step-by-step explanation:

Eliminating parentheses, you have ...

  -3x +42 +9x = 6x +42

Collecting terms, you have ...

  6x +42 = 6x +42

This is true for any value of x. There are an infinite number of solutions.

If the model is 1 1/2 inches tall and the actual statue is 5 1/4 feet tall, it means that the initial ratio is 1 1/2 : 5 1/4. to simplify it, firstly we need to find a common denominator, which will be 1 2/4 in this case, and then rewrite it as a ratio of mixed numbers:

1 2/4 : 5 1/4
6/4 : 21/4

now we can see that we can use one third of both sides to simplify the ratio:

2/4 : 7/4

we can further simplify it into:

1/2 : 7/4

which is:

1/2 : 1 3/4