What is the solution to the system: 9x+3y=24 2y+4x=8

The solution is x = 4 and y = - 4

Step-by-step explanation:

(9x + 3y = 24) - 2

(4x + 2y = 8) 3

-18x - 6y = - 48

12x + 6y = 24

-6x = - 24

x = 4

Plug this into one of the equations

2y+4 (4) = 8

2y + 16 = 8

- 16 - 16

2y = - 8

y = - 4

x = 4, y = - 4

Step-by-step explanation:

9x + 3y = 24

3x + y = 8 divide both sides by 3

y = 8 - 3x subtract 3x from both sides

2y + 4x = 8

2 (8 - 3x) + 4x = 8 replace y with 8 - 3x

16 - 6x + 4x = 8 distributive property

-6x + 4x = 8 - 16 subtract 16 from both sides

-2x = - 8 divide both sides by - 2

x = 4

y = 8 - 3x

y = 8 - 3 (4) replace x with 4

y = 8 - 12

y = - 4