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Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :

Option:
A. x = 0, y = 0 as solutions
B. x = 0, y = 0 and x = 1, y = -2 as solutions
C. x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions
D. an infinite number of solutions.
Answer: D . an infinite number of solutions.

Justification:

The gieven equations are 2x + y = 0 and 2x + y = 0
Thus, there is one equation in two variables.
So, the given equation infinite number of solutions.

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