Solve the system using Elimination 2x +6y=-12 5x-5y=10 A) 2,1 B) 0,-2 C) -2,0 D) 1,2 Question Solve the system using Elimination 2x +6y=-12 5x-5y=10 A) 2,1 B) 0,-2 C) -2,0 D) 1,2 in progress 0 Math Adeline 10 mins 2021-09-12T05:50:27+00:00 2021-09-12T05:50:27+00:00 1 Answer 0

## Answers ( )

Answer:B) 0,-2(x = 0, y = -2)

Step-by-step explanation by elimination:Solve the following system:

{2 x + 6 y = -12 | (equation 1)

{5 x – 5 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{5 x – 5 y = 10 | (equation 1)

{2 x + 6 y = -12 | (equation 2)

Subtract 2/5 × (equation 1) from equation 2:

{5 x – 5 y = 10 | (equation 1)

{0 x+8 y = -16 | (equation 2)

Divide equation 1 by 5:

{x – y = 2 | (equation 1)

{0 x+8 y = -16 | (equation 2)

Divide equation 2 by 8:

{x – y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Add equation 2 to equation 1:

{x+0 y = 0 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 0

, y = -2