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Hi. I am supposed to solve this system of equations. 9x-2y=-5 and -6x+y=-1

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(i)    9x - 2y = -5
(ii)  -6x + y = -1
 
Multiply the bottom equation by 2 and add it to the top equation:
 
   9x - 2y = -5
-12x + 2y = -2
________    __
-3x          = -7
 
x = 7/3
 
Plug this value of x into equation (i) or (ii) to get y.  Using equation (ii), get
 
-6(7/3) + y = -1
 
-14 + y = -1
 
y = 13
 
Test the solutions for x and y.
 
 

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