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blueroyk9eN7olina blueroyk9eN7olina
  • 25-11-2016
  • Mathematics
Answered

what is the value of y in the solution to the following system of equations ?

5x – 3y = –11

2x – 6y = –14

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 27-11-2016

We can use substitution method to solve for this system of equations. We calculate as follows:

2x – 6y = –14
-6y = -14 -2x
y = x/3 + 7/3

 5x – 3y = –11
 5x – 3(x/3 + 7/3) = –11
5x - x + 7 = -11
4x = -11 -7
4x = -18
x = -9/2
y = -9/2(3) + 7/3
y = 5/6

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