SOLUTION: Solve the system of equations using elimination by addition or by augmented matrix methods (your choice). 3x + y = −1 6x + 4y = 2 Would you kindly include the solution?

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the system of equations using elimination by addition or by augmented matrix methods (your choice). 3x + y = −1 6x + 4y = 2 Would you kindly include the solution?      Log On


   

Question 872617: Solve the system of equations using elimination by addition or by augmented matrix methods (your choice).
3x + y = −1
6x + 4y = 2
Would you kindly include the solution? Thanks.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
I hope you are comfortable with nonaugmented matrix:

%28matrix%282%2C3%2C3%2C1%2C-1%2C%0D%0A6%2C4%2C2%29%29
%28matrix%282%2C3%2C3%2C1%2C-1%2C%0D%0A3%2C2%2C1%29%29
%28matrix%282%2C3%2C%0D%0A3%2C1%2C-1%2C%0D%0A3%2C2%2C1%29%29
%28matrix%282%2C3%2C%0D%0A3%2C1%2C-1%2C%0D%0A0%2C1%2C2%29%29
%28matrix%282%2C3%2C%0D%0A3%2C0%2C-3%2C%0D%0A0%2C1%2C2%29%29
%28matrix%282%2C3%2C%0D%0A1%2C0%2C-1%2C%0D%0A0%2C1%2C2%29%29

y=2 and x=-1

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the system of equations using elimination by addition or by augmented matrix methods (your choice).
3x + y = −1
6x + 4y = 2
Would you kindly include the solution? Thanks.


   3x +  y = - 1______eq (i)

   6x + 4y =   2______eq (ii)

- 12x - 4y =   4______Multiplying eq (i) by - 4______eq (iii)

-  6x      =   6______Adding eqs (iii) & (ii)

    x      = - 1

Substitute - 1 for x in either eq (i) or (ii) to obtain the value of y



Then do a check!! 



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