SOLUTION: Hey there, I have recently been set a simultaneous equations hwk that up till now I have found rather easy! My problem occurs at a new type of question I have not been taught about

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Question 1015473: Hey there, I have recently been set a simultaneous equations hwk that up till now I have found rather easy! My problem occurs at a new type of question I have not been taught about. I will provide 2 questions for reference: and is the first pair. The 2nd is and is the other pair. I believe that I need to +/-the single integer with no algebraic term, to make it not equal 0, and the rearrange and substitute in. However, when I do this, say with the 2nd, I get , which I know isn't right, as a friend showed me the answer. But I want to understand how I get there! As the answer is . Thanks for reading and helping me out!
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2x - y + 1 = 0
3x + 2y + 4 = 0
-------
4x - 2y + 2 = 0 1st eqn times 2
3x + 2y + 4 = 0
--------------------- Add
7x + 6 = 0
x = -6/7
y = 2x + 1 (1st eqn)
y = -5/7
=====================
3x - y + 5 = 0
5x + y - 13 =0
----------------------- Add
8x - 8 = 0
x = 1
=====================================
---
y = 8
================

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