The image of the point (3, –8) under the transformation (x, y) → (2x + y, 3x – y) is

Let (x1, y1) be the image of the point (x, y) under the given transformation.Then, x1 = 2x + y = 2 (3) – 8 = –2and y1 = 3x – y = 3 (3) – (–8) = 17Hence, the image is (–2, 17).