Question

② -3x + y = -2

Explanation:

To solve for \( y \) in the equation \( -3x + y = -2 \), we can use the following steps:

Step 1: Isolate \( y \)

We want to get \( y \) by itself on one side of the equation. To do this, we can add \( 3x \) to both sides of the equation. This will cancel out the \( -3x \) term on the left side.

\[
-3x + y + 3x = -2 + 3x
\]

Step 2: Simplify both sides

Simplifying the left side, \( -3x + 3x = 0 \), so we are left with \( y \) on the left side. The right side simplifies to \( 3x - 2 \).

\[
y = 3x - 2
\]

So the solution for \( y \) in terms of \( x \) is \( y = 3x - 2 \).

Answer:

To solve for \( y \) in the equation \( -3x + y = -2 \), we can use the following steps:

Step 1: Isolate \( y \)

We want to get \( y \) by itself on one side of the equation. To do this, we can add \( 3x \) to both sides of the equation. This will cancel out the \( -3x \) term on the left side.

\[
-3x + y + 3x = -2 + 3x
\]

Step 2: Simplify both sides

Simplifying the left side, \( -3x + 3x = 0 \), so we are left with \( y \) on the left side. The right side simplifies to \( 3x - 2 \).

\[
y = 3x - 2
\]

So the solution for \( y \) in terms of \( x \) is \( y = 3x - 2 \).