Question

12y−2x=12

Answer 1

To solve the equation \( 12y - 2x = 12 \) for one variable in terms of the other, let’s isolate \( y \).

1. Start with the equation:
\[
12y - 2x = 12
\]

2. Add \( 2x \) to both sides:
\[
12y = 2x + 12
\]

3. Now, divide every term by \( 12 \):
\[
y = \frac{2x + 12}{12}
\]

4. Simplify the right side:
\[
y = \frac{2x}{12} + \frac{12}{12} = \frac{x}{6} + 1
\]

So, the equation can be rewritten as:
\[
y = \frac{x}{6} + 1
\]

If you need to solve for \( x \) in terms of \( y \), you can do the following:

1. Start with the original equation:
\[
12y - 2x = 12
\]

2. Rearrange it to isolate \( x \):
\[
-2x = 12 - 12y
\]

3. Divide by \( -2 \):
\[
x = 6y - 6
\]

Thus, \( x \) can be expressed as:
\[
x = 6y - 6
\]

You can use either form depending on which variable you want to express in terms of the other.