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

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Adeline 10 mins 2021-09-12T05:50:27+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T05:51:48+00:00

    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

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