Step 1 :Given the expression \(10.2x + 9.4y\), we are asked to evaluate it when \(x=2\) and \(y=3\).
Step 2 :Substitute \(x=2\) and \(y=3\) into the expression, we get \(10.2*2 + 9.4*3\).
Step 3 :Perform the multiplication first according to the order of operations, we get \(20.4 + 28.2\).
Step 4 :Finally, add the two numbers together to get the final result.
Step 5 :The final answer is \(\boxed{48.6}\).