Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.” Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?