Book Maths Puzzle Algebra

Two consecutive integers are added together. The square of their sum is 361. What are the integers?

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Book Other Question

I'm having trouble with solving systems. I did this before, at the beginning of the year, but I completely forget how to do it. Here's the system:
y=7x-9
y=4x+6
Question regarding quadratic equations in intermediate algebra:

Determine the dimensions of a rectangle with a perimeter of 20 that encloses the greatest area. The perimeter is