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in Linear Equations by (50.2k points)
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Solve graphically the following system of linear equations if it has unique solution:

3x + 2y = 14 

x - 4y = - 14

1 Answer

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Best answer

The given pair of linear equations is

3x + 2y = 14 or 3x + 2y – 14 = 0

and x – 4y = – 14 or x – 4y + 14 = 0

On comparing the given equations with standard form of pair of linear equations i.e. a1 x + b1y + c1 = 0 and a2 x + b2y + c2 = 0, we get

a1 = 3, b1 = 2 and c1 = – 14

and a2 = 1, b2 = – 4 and c2 = 14

The lines representing the given pair of linear equations will intersect at a point.

Here, the lines intersecting at point B i.e. (2,4)

Hence, the unique solution is x = 2 and y = 4.

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