Solve the following equations by the graphical method 3x + y + 4 = 0 and 6x – 2y + 4 = 0.
Pls tell me fast.......
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Solve the following equations by the graphical method 3x + y + 4 = 0 and 6x – 2y + 4 = 0.
Pls tell me fast.......
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Verified answer
From the above question, we have the equation as,
3x + y + 4 = 0-----------------(1)
6x - 2y + 4 = 0----------------(2)
Comparing with the general form of straight line ax + by + c = 0, we get,
a₁ = 3, b₁ = l c₁ = 4
a₂ = 6, b₂ = -2 c₂ = 4
a₁/a₂ = 1/2;
b₁/b₂ = 1/-2;
c₁/c₂ = 1.
a₁/a₂ ≠ b₁/b₂.
Hence, the given pair of linear equations are intersecting at one point and these lines have a unique solution.
Therefore, the given pairs of linear equations are consistent.
Let us graphically illustrate this.
We have, 3x + y + 4 = 0.
y = -4 - 3x.
x = 0 -1
y = -4 -1
6x - 2y + 4 = 0
2y = 6x + 4
y = 3x + 2
x = -1 0 1
y = -1 2 5
Plotting the points B(0, -4) and A(-2, 2), we get the straight line AB.
Plotting the points Q(0,2) and P(1, 5), we get the straight line PQ.
The lines AB and PQ intersect at C (-1, -1).
Step-by-step explanation:
Solve the following equations by the graphical method 3x + y + 4 = 0 and 6x – 2y + 4 = 0.
Pls tell me fast.......