What is the solution to the following system of linear equations? {4x - y = -6 | {x - 2y = -5

Question

Please explain how to solve

Answer 1

4x - y = -6

x - 2y = -5

 

multiply equation 1 by -2 and add equations

 

-8x + 2y = 12

  x - 2y =  -5

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-7x = 7

x = -1

 

Plugging this into 2nd equation:

-1 - 2y = -5

-2y = -4

y = 2

 

Solution:  (-1, 2)