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Solve the system by elimination (show work)
3x+2y=7
-3x+4y=5

1 Answer

1 vote

Answer:

x = 1, y = 2

Explanation:

Solve the following system:

{2 y + 3 x = 7 | (equation 1)

4 y - 3 x = 5 | (equation 2)

Add equation 1 to equation 2:

{3 x + 2 y = 7 | (equation 1)

0 x + 6 y = 12 | (equation 2)

Divide equation 2 by 6:

{3 x + 2 y = 7 | (equation 1)

0 x + y = 2 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y = 3 | (equation 1)

0 x + y = 2 | (equation 2)

Divide equation 1 by 3:

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

0 x + y = 2 | (equation 2)

Collect results:

Answer: {x = 1, y = 2

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