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3 years ago

What is x-2y=-1 and 2x+y=4 using elimination step by step

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

x = 7/5 , y = 6/5

Step-by-step explanation using elimination:

Solve the following system:

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

2 x + y = 4 | (equation 2)

Swap equation 1 with equation 2:

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

x - 2 y = -1 | (equation 2)

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

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

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

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

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

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

0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Collect results:

Answer: {x = 7/5 , y = 6/5

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