Solve the system using Elimination

2x + 6y=-12

5x-5y=10

A) 2,1

B) 0,-2

C) - 2,0

D) 1,2

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

1) (D) (3,1)

2) (C) (-3,-5)

3) (B) (0,-2)

4) (B)

100%right On Connexus Lesson 3 Unit 1