Question

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

A.) 2^12
B.) 4^4
C.) 8^2
D.) The value cannot be determined from the information given.

Answer 1

Explanation:

We can solve for x in terms of y from the equation 3x - y = 12 as follows:

3x - y = 12

3x = y + 12

x = (y + 12)/3

Similarly, we can solve for y in terms of x:

3x - y = 12

-y = -3x + 12

y = 3x - 12

Now, we can substitute these expressions for x and y into the expression 8x/2y to get:

8x/2y = 4x/y

Substituting (y + 12)/3 for x, we get:

4x/y = 4((y + 12)/3)/y = 4(y + 12)/3y

Simplifying the numerator, we get:

4(y + 12) = 4y + 48

Substituting 3x - 12 for y, we get:

4y + 48 = 4(3x - 12) + 48 = 12x

Therefore, 8x/2y = 4x/y = 12x/4y = 12x/(3x - 12)

We cannot simplify this expression further without additional information. Therefore, the answer is (D) The value cannot be determined from the information given.