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3x - y = 12
4x - 5y = 16

1 Answer

4 votes

Answer:

x = 4 , y = 0

Explanation:

Solve the following system:

{3 x - y = 12 | (equation 1)

4 x - 5 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{4 x - 5 y = 16 | (equation 1)

3 x - y = 12 | (equation 2)

Subtract 3/4 × (equation 1) from equation 2:

{4 x - 5 y = 16 | (equation 1)

0 x+(11 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/11:

{4 x - 5 y = 16 | (equation 1)

0 x+y = 0 | (equation 2)

Add 5 × (equation 2) to equation 1:

{4 x+0 y = 16 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

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

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 4 , y = 0

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