If 3y - x = 3 and x is four times the value of y, what is the value

Question

ofx -y?

Answer 1

We are given the equations:

1. \( 3y - x = 3 \)
2. \( x = 4y \)

We can substitute the second equation into the first equation.

Substituting \( x = 4y \) into \( 3y - x = 3 \):

\[ 3y - 4y = 3 \]

This simplifies to:

\[ -y = 3 \]

Now, solving for \( y \):

\[ y = -3 \]

Next, we can find \( x \) using the equation \( x = 4y \):

\[ x = 4(-3) = -12 \]

Now we need to find the value of \( x - y \):

\[ x - y = -12 - (-3) = -12 + 3 = -9 \]

Therefore, the value of \( x - y \) is:

\[ \boxed{-9} \]