SOLUTION: Solve the following system of equations. 4x+9y= 10 x= 5x+8y=19 y=

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Question 878186: Solve the following system of equations.
4x+9y= 10 x=
5x+8y=19 y=
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Substitution might be more comfortable.
4x%2B9y=10
4x=10-9y
x=%2810-9y%29%2F4
-
5x%2B8y=19
5%2810-9y%29%2F4%2B8y=19
5%2810-9y%29%2B32y=76
50-45y%2B32y=76
-45y%2B32y=26
-13y=26
highlight%28y=-2%29
-
highlight%28x=%2810-9%28-2%29%29%2F4%29, when done, find x=4.5

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the following system of equations.
4x+9y= 10 x=
5x+8y=19 y=


   4x +  9y =   10 ------- eq (i)

   5x +  8y =   19 ------- eq (ii)

- 20x - 45y = - 50 ------ Multiplying eq (i) by - 5 ------ eq (iii)

  20x + 32y =   76 ------ Multiplying eq (i) by 4 -------- eq (iv)

      - 13y =   26 ------ Adding eqs (iv) & (iii)

          y = 26%2F-+13, or highlight_green%28highlight_green%28y+=+-+2%29%29%29

Substitute - 2 for y in either eq (i) or (ii) to determine the value of x

You should get a value of highlight_green%28highlight_green%28x++=+7%29%29%29

You can do the check!! 



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