Hello! I need help with these math questions, thanks! :)

Question

1.) Solve the system by substitution.

5x + 2y = -17

x = 3y

2.) Solve the system by substitution.

x/3 + y = 4/3

-x + 2y = 11

3.) Solve the system by elimination.

2x - 3y = 0

2x + 6y = 3

4.) Solve the system by elimination.

3x - 5y =11

2x - 6y = 2

Answer 1

5x + 2y = -17

x = 3y

5(3y) + 2y = -17
15y + 2y = -17
17y = -17
y = -1
x = 3(-1)
x = -3

(-3, -1)

2.) Solve the system by substitution.

x/3 + y = 4/3

-x + 2y = 11

y = -x/3 + 4/3

-x + 2(-x/3 + 4/3) = 11

-x -2x/3 + 8/3 = 11
-5x/3 = =25/3

-3/5(-5x/3) = 25/3(-3/5)

x = -5

(-5, 3)

3.) Solve the system by elimination.

2x - 3y = 0

2x + 6y = 3

4x -6y =0
2x +6y = 3
6x = 3
x = 1/2
y = 1/3

(1/2, 1/3)

4.) Solve the system by elimination.

3x - 5y =11

2x - 6y = 2

6x -10x = 22
-6x + 18y = -6

8y = 16
y = 2
x = 7

(7,2)

Answer 2

easy as pie peeps

Answer 3

Hello I need help with word problem.
Coffee shop sells small and large coffee in one day they sell 508 cups of coffee. IF they sell 3 times as many large cups of coffee as small cups of coffee, How many of each size coffee's does the shop sell in a day?

Answer 4

127 small cups and 381 large cups.