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16 votes
16 votes
2x + 3y = 13
4x - y = -2

User Nicholas Pesa
by
2.8k points

1 Answer

20 votes
20 votes

Answer:

Explanation:

Solve the following system:

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

{-y + 52 x = -2 | (equation 2)

Swap equation 1 with equation 2:

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

{2 x + 3 y = -2 | (equation 2)

Subtract 1/26 × (equation 1) from equation 2:

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

{0 x + (79 y)/26 = -25/13 | (equation 2)

Multiply equation 2 by 26:

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

{0 x + 79 y = -50 | (equation 2)

Divide equation 2 by 79:

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

{0 x + y = -50/79 | (equation 2)

Add equation 2 to equation 1:

{52 x + 0 y = -208/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Divide equation 1 by 52:

{x + 0 y = -4/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Collect results:

Answer: {x = -4/79, y=-50/79

User Labra
by
3.1k points