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ohaa [14]
3 years ago
8

What is the solution to the equations -4x+9y=9 and x+3y=-6

Mathematics
2 answers:
xeze [42]3 years ago
4 0

The solution for the given equation -4x+9y=9 and x+3y=-6 is x= -27 and y = 7

<u>Step-by-step explanation:</u>

  • step 1 : x_{1} = -4x+9y = 9 , x_{2} = x+3y = -6
  • step 2 : For solving in the substitution method we have to multiply the equation x_{2} with 3 so we get x_{2} = 3x+9y = -18
  • step 3 : On solving the equations we get x = -27

       x_{1} = -4x+9y = 9

     3x_{2} =<u> 3x+9y = -18 ( </u>we have to change the sign for cancelling the y term)

             <u> 1x + 0  = 27 </u>

  • step 4 : By substituting the x value in any of the equation we get the y value thus  y = 7.
  • step 5 : Thus the value of x and y  is -27 and 7

Katen [24]3 years ago
3 0

Answer:

x=-27/7, y=-5/7. (-27/7, -5/7).

Step-by-step explanation:

-4x+9y=9

x+3y=-6

-------------

-4x+9y=9

-3(x+3y)=-3(-6)

-----------------------

-4x+9y=9

-3x-9y=18

----------------

-7x=27

x=-27/7

-27/7+3y=-6

3y=-6-(-27/7)

3y=-6+27/7

3y=-15/7

y=(-15/7)/3

y=(-15/7)(1/3)=-15/21=-5/7

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