Question

simplify the expression (5x + 3y + 5 + 4x + 3y + y + 8) and choose the correct result from the following options: (9x + 7y + 13), (6x + 2y + 2), (25x + 2y + 3), (x + 7y + 12)

Explanation:

Step1: Combine like terms for x

We have \(5x\) and \(4x\). Combining them gives \(5x + 4x = 9x\).

Step2: Combine like terms for y

We have \(3y\), \(3y\), and \(y\). Combining them gives \(3y + 3y + y = 7y\).

Step3: Combine like terms for constants

We have \(5\) and \(8\). Combining them gives \(5 + 8 = 13\).

Step4: Combine all combined terms

Putting together the combined x, y, and constant terms, we get \(9x + 7y + 13\).

Answer:

\(9x + 7y + 13\) (corresponding to the first option)