Respuesta :

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

2y = 8 - 2x (divide by 2 on both sides)
y = 4 - x (insert this into the second equation

2*(4-x) - 4x = 2
8 - 2x - 4x = 2
8 - 6x = 2
-6x = 2 - 8
-6x = -6
x = 1 (insert this into either of the first two equations)

2y + 2*1 = 8
2y + 2 = 8
2y = 8 - 2
2y = 6
y = 6/2
y = 3

(x,y) = (1,3)

The solution of the given equations is equal to (x,y) = (1,3)

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations:-

  • 2y + 2x = 8
  • 2y - 4x = 2

The equation will be solved as:-

2y   =  8 - 2x   (divide by 2 on both sides)

y     =  4 - x      (insert this into the second equation

2  x  (  4  -  x  )  -  4x  =  2

8  -    2x  -   4x     =   2

8   -    6x   =    2

-6x    =    2   -   8

-6x    =   -6

x       =    1      (insert this into either of the first two equations)

2y   +   2 x 1   =    8

2y   +    2     =    8

2y     =     8   -   2

2y    =    6

y      =    6/2

y      =     3

Therefore the solution of the given equations is equal to (x,y) = (1,3)

To know more about equations follow

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