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3 years ago

WILL MARK BRAINLIEST IF ANSWERED CORRECTLY (SHOW YOUR WORK)

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

One solution -> x = 35 , y = -25

Step-by-step explanation:

Solve the following system:

{14 x + 7 y = 315 | (equation 1)

16 x - 2 y = 610 | (equation 2)

Swap equation 1 with equation 2:

{16 x - 2 y = 610 | (equation 1)

14 x + 7 y = 315 | (equation 2)

Subtract 7/8 × (equation 1) from equation 2:

{16 x - 2 y = 610 | (equation 1)

0 x+(35 y)/4 = (-875)/4 | (equation 2)

Divide equation 1 by 2:

{8 x - y = 305 | (equation 1)

0 x+(35 y)/4 = -875/4 | (equation 2)

Multiply equation 2 by 4/35:

{8 x - y = 305 | (equation 1)

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

Add equation 2 to equation 1:

{8 x+0 y = 280 | (equation 1)

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

Divide equation 1 by 8:

{x+0 y = 35 | (equation 1)

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

Collect results:

Answer: x = 35 , y = -25

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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