Question

Solve the following system of equations using the elimination method

8x + 2y= 30

7x+2y= 24

A) (3.-12)
B) (-53)
C) 1-6,-5)
D) 16,9)

Answer 1

(6, -9)

Explanation:

let: 8x + 2y = 30 be equation (a).

7x + 2y = 24 be equation (b).

`{ \bf{equation \: (a) - equation \: (b) : }}`

`(8 - 7)x + (2 - 2)y = (30 - 24) \\ x + 0y = 6 \\ x = 6`

substitute for x in equation (a):

`(8 * 6) + 2y = 30 \\ 48 + 2y = 30 \\ y = - 9`