Question

using the linear equation 4x-3y=12, express the following. y in terms of x

Answer 1

To express \( y \) in terms of \( x \) using the equation \( 4x - 3y = 12 \), we need to isolate \( y \).

Starting with the equation:

\[
4x - 3y = 12
\]

First, let's move \( 4x \) to the right side of the equation:

\[
-3y = 12 - 4x
\]

Now, divide both sides by \( -3 \) to solve for \( y \):

\[
y = \frac{12 - 4x}{-3}
\]

This simplifies to:

\[
y = -\frac{12}{3} + \frac{4x}{3}
\]

Simplifying further:

\[
y = -4 + \frac{4}{3}x
\]

So, the final expression for \( y \) in terms of \( x \) is:

\[
y = \frac{4}{3}x - 4
\]