Final answer:The question asks to simplify analgebraic expression. We simplify by combining like terms: 7x-5x becomes 2x, 2y+9y becomes 11y, and 5-1 becomes 4. So the simplified expression is 2x + 11y + 4.Explanation:The question asks for the simplification of the algebraic expression7x+2y+5-5x+9y-1. To do this, we collect like terms together. In this case, the like terms are those that contain 'x' and those that contain 'y', as well as the constants without any variables. The terms containing 'x' are 7x and -5x, the terms containing 'y' are 2y and 9y and the constant terms are 5 and -1.If we add the 'x' terms together we get 7x - 5x which is equal to2x. Adding the 'y' terms we get 2y + 9y which simplifies to11y. Lastly we add the constants 5 and -1 to get4.So the simplified form of the original expression is 2x + 11y + 4.Learn more about Algebraic Simplification here:brainly.com/question/34472544#SPJ3...

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