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Rudiy27
3 years ago
13

Solve the system using elimination 2x+3y=14 x+5y=14

Mathematics
2 answers:
natali 33 [55]3 years ago
4 0

Answer:

x = 4 , y = 2

Step-by-step explanation by elimination:

Solve the following system:

{2 x + 3 y = 14 | (equation 1)

x + 5 y = 14 | (equation 2)

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

{2 x + 3 y = 14 | (equation 1)

0 x+(7 y)/2 = 7 | (equation 2)

Multiply equation 2 by 2/7:

{2 x + 3 y = 14 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

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

0 x+y = 2 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 4 , y = 2

klemol [59]3 years ago
4 0

NVM my answer was wrong so i edited it

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Answer with Step-by-step explanation:

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