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How to solve 5x - 4y = 42 and x - 6y = 24 using the elimination method



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here2help
5x - 4y = 42 ------  (1)
x - 6y = 24 ----------(2), multiply eq. 2 by 5 we get 
5x - 30y = 120 -----(3), 
now use eq. (3) - (1),
   5x - 30y = 120
 -(5x - 4y = 42) 
- 30y + 4y = 120 - 42, 
-26y = 78, y = -78/26 = -3, 
x = 24 + 6y = 24 + (6*[-3]) = 24 - 18 = 6,
x = 6, y = -3.

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