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4 years ago

Use in the elimination mentioned for this problem 6x+5y=11 x+y =6

Mathematics

1 answer:

Oliga [24]4 years ago

6 0

Answer:

{x = -19 , y = 25

Step-by-step explanation: System solved by elimination

Solve the following system:

{6 x + 5 y = 11 | (equation 1)

{x + y = 6 | (equation 2)

Subtract 1/6 × (equation 1) from equation 2:

{6 x + 5 y = 11 | (equation 1)

{0 x+y/6 = 25/6 | (equation 2)

Multiply equation 2 by 6:

{6 x + 5 y = 11 | (equation 1)

{0 x+y = 25 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{6 x+0 y = -114 | (equation 1)

{0 x+y = 25 | (equation 2)

Divide equation 1 by 6:

{x+0 y = -19 | (equation 1)

{0 x+y = 25 | (equation 2)

Collect results:

Answer: {x = -19 , y = 25

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