Question

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

Answer 1

The solution is x = 4 and y = -4

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

Answer 2

x = 4, y = -4

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