–5x + 2y = 10

	  x – 3y = 11 


 

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
 
	–5x + 2y = 10

	  x – 3y = 11 


Multiply the bottom equation by 5, this gives you 5x so it cancels with -5x



	–5x + 2y = 10

	 5(x – 3y = 11) 


it then becomes



	–5x + 2y = 10

	 5x –15y = 55 


Now individually add the terms 5x and -5x to get 0x. Then add 2y and -15y to get -13y, and finally 10 and 55 to get 65

	0x - 13y = 65 


Now you can solve for y

   
Divide both sides by -13

So y=-5. Now solve for x by plugging in y.



Add 10 to both sides

Simplify

Divide both sides by -5



So x=-4 and y=-5 

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