If 3 x − y = 12 , what is the value of 8x over 2y?

Question

I am studying over an SAT and I came across this question. What should I do because I can’t recall how to.

Answer 1

I believe I remember this question from the College Board Study Guide.

The question asks for the value of 8 to the x-power divided by 2 to the y-power. The trick to solving this is to rewrite 8^x as 2^3x so that you have 2^3x divided by 2^y_. Since the bases are now the same, you can subtract the exponents to get a result of 2^3x-y_. And, since it is given that 3x-y is 12, your final answer is 2¹²_.