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3 years ago

2x + 6y= 386 4x +4y=292

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer:

x = 13 ,y = 60

Step-by-step explanation:

Solve the following system:

{2 x + 6 y = 386 | (equation 1)

4 x + 4 y = 292 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 4 y = 292 | (equation 1)

2 x + 6 y = 386 | (equation 2)

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

{4 x + 4 y = 292 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 1 by 4:

{x + y = 73 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 2 by 4:

{x + y = 73 | (equation 1)

0 x+y = 60 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 13 | (equation 1)

0 x+y = 60 | (equation 2)

Collect results:

Answer: {x = 13 ,y = 60

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