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)

Question

asked Jun 19, 2022 71.1k views

1 Answer

Hasani · Answer 1 · 2022-06-26T06:45:03+0000

Answer:

(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):

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