SOLUTION: Can I please have your assistance? What is the solution to 3x - y = 4, x + 6y = -5?

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Question 1042300: Can I please have your assistance? What is the solution to 3x - y = 4, x + 6y = -5?
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!

Do yours exactly step-by-step like this one:

2x - y = 8, x + 4y = -5

Solve the 2nd equation for x:

  x + 4y = -5
     -4y     -4y
----------------
  x      = -5-4y

Substitute (-5-4y) for x in the 1st equation:

       2x - y = 8
 2(-5-4y) - y = 8
 -10 - 8y - y = 8
     -10 - 9y = 8
     +10      +10
-----------------
         -9y = 18
       %28-9y%29%2F%28-9%29+=+18%2F%28-9%29
           y = -2
       
Substitute (-2) for y in

       x = -5-4y 
       x = -5-4(-2)
       x = -5+8
       x = 3

The solution is (x,y) = (3,-2)

Edwin