146k views
5 votes
X-y=3, 2x-y=5 what’s the solution

User AntiMoron
by
8.1k points

1 Answer

3 votes

Answer:

x = 2, y = -1

Solve the following system:

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

-y + 2 x = 5 | (equation 2)

Swap equation 1 with equation 2:

{2 x - y = 5 | (equation 1)

x - y = 3 | (equation 2)

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

{2 x - y = 5 | (equation 1)

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

Multiply equation 2 by 2:

{2 x - y = 5 | (equation 1)

0 x - y = 1 | (equation 2)

Multiply equation 2 by -1:

{2 x - y = 5 | (equation 1)

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

Add equation 2 to equation 1:

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

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

Divide equation 1 by 2:

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

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

Collect results:

Answer: |

| {x = 2

y = -1

I believe that this is truly the answer.

User Nikolay Lukyanchuk
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories