Question

The linear equation 4x-10y=14 has:-
a) a unique solution
b) two solutions
c) Infinitely many solutions
d) No solution​

Answer 1

The answer is (c) Infinitely many solutions

Answer 2

The correct answer is option (c) Infinitely many solutions.

GIVEN

Linear equation; 4x - 10y = 14

TO FIND

Number of solutions.

SOLUTION

The above problem can be simply solved as follows;

It is known that,

Linear equation in two variable represents a straight line.

Therefore,

The linear equation; 4x - 10y = 14 is a straight line.

It is known that infinite number of points of the form (x,y) which lies in the above straight line.

Hence, The equation has infinitely many solutions.

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