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)
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)
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