Identify if the equation \(3y - 2 = 5\) is linear or not.

To determine if the equation \(3y - 2 = 5\) is linear, we can rearrange it into a standard linear form. A linear equation in two variables typically has the form \(Ax + By = C\), where \(A\), \(B\), and \(C\) are constants. Let's solve the equation \(3y - 2 = 5\): 1. Add 2 to both sides: \[ 3y = 5 + 2 \] \[ 3y = 7 \] 2. Now, divide both sides by 3: \[ y = \frac{7}{3} \] This equation represents a horizontal line where \(y\) is always \(\frac{7}{3}\) regardless of the value of \(x\). Since it can be expressed in the form \(y = mx + b\) (where \(m = 0\) and \(b = \frac{7}{3}\)), it confirms that the equation is indeed linear. Thus, the equation \(3y - 2 = 5\) is a linear equation.