The Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel. If their combined height is 361 feet, how tall is the Gardenview Hotel?​

Answer:The height of Gardenview hotel is 38 feet.Step-by-step explanation:To solve this problem let first suppose Garden View Hotel is "x" and the Plaza Hotel is "y" so the first equation as it says in the question will be 17x- 2y =0 and the second equation will be their combined height which is x+y =361 . Now let's solve both the equations simultaneously to get the height of GardenView Hotel.[tex]17_x - 2_{y} =0[/tex] (1)[tex]x + y = 361[/tex]   (2) Now multiply the second whole equation by 2 so that we can eliminate y from both the equations , after doing that the final equation is [tex]19x = 772[/tex] and if we calculate x from this we will get the height of gardenview hotel which is 38 feet.