2x + y = 6, 4-3/4 = y solve in graphical merhod
Answers
2x + y = 6; 4 – 3x/4 = y
v. 2x + y = 6; 4 – 3x/4 = y
2x + y = 6
(X,Y)
(0,6)
(1,4)
(2,2)
Put, x = 0
∴ 2(0) + y = 6
∴ y = 6
Put, x = 1
∴ 2(1) + y = 6
∴ 2 + y = 6
∴ y = 6 – 2
∴ y = 4
Put, x = 2
∴ 2(2) + y = 6
∴ 4 + y = 6
∴ y = 6 – 4
∴ y = 2
4 – 3x/4 = y
∴ 4 – 3x = 4y
(X,Y)
(0,1)
(4,-2)
(-4,4)
Put, x = 0
∴ 4 – 3(0) = 4y
∴ 4 – 0 = 4y
∴ 4 = 4y
∴ 4/4 = y
∴ 1 = y
∴ y = 1
Put, x = 4
∴ 4 – 3(4) = 4y
∴ 4 – 12 = 4y
∴ - 8 = 4y
∴ -8/4 = y
∴ - 2 = y
∴ y = - 2
Put, x = - 4
∴ 4 – 3 ( - 4 ) = 4y
∴ 4 + 12 = 4y
∴ 16 = 4y
∴ 16/4 = y
∴ 4 = y
∴ y = 4
x = 4 and y = – 2 is the solution of given simultaneous equations.
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Explanation:
Solution:-
2 x +y = 6
X Y
0 6
1 4
2 2
∴XY =(0,6) (0,1) (2,2)
Again,
4-3/4= y
X Y
0 1
4 -2
-4 4