Question

2 are the equations equivalent? a yes, the equations are equivalent. b no, the equations are not equivalent. explain or show your reasoning using one of the tools below. draw write photo audio video

Explanation:

To determine if the equations \(2x + 3 = 7\), \(2x = 4\), and \(x = 2\) are equivalent, we check if they have the same solution. Solving \(2x + 3 = 7\): subtract 3 from both sides (\(2x + 3 - 3 = 7 - 3\)) gives \(2x = 4\). Then divide both sides by 2 (\(\frac{2x}{2}=\frac{4}{2}\)) gives \(x = 2\). All three equations simplify to the same solution \(x = 2\), so they are equivalent.

Answer:

A. Yes, the equations are equivalent.