Please show work for all questions!

Can you solve a system of equations using the substitution by solving one equation for x or y and then using the substitution method?

A) x + 6y = 6

7x - 5y = -5

B) -6x + y = 32

-7x + 5y = 45

C) y - 4x = 3

5y = 20x + 15

Can you use a system of equations to solve a word problem using the Blueprint for Problem Solving?

1) The sum of two numbers is -2, and their difference is 4. Find the two numbers.

2) One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.

3) A flat rectangular piece of aluminum has a perimeter of 64 inches. The length is 8 inches longer than the width. Find the width. Select one: A) 20 in. B) 32 in. C) 28 in. D) 12 in.

The Little Town Fine Arts Center charges $24 per adult and $14 per senior citizen for its performances. On a recent weekend evening when 484 people paid admission, the total receipts were $8486. How many who paid were senior citizens?

Aviva has a total of 52 coins, all of which are either dimes or nickels. The total value of the coins is $4.70. Find the number of each type of coin.