Question

The linear equation 4x-10y=14 has:-a) a unique solutionb) two solutionsc) Infinitely many solutionsd) No solution​

Answer 1

Solution of linear equation

Given: the linear equation 4x - 10y = 14

To find: the number of solution(s)

Solution (geometrical explanation):

• The one degree equation in two variables represents a straight line.

• The given equation 4x - 10y = 14 is a straight line in the Cartesian plane for two dimensions.

• As we know that there are an infinite number of points of the form (x, y) which lie on the above straight line.

• Thus we can understand that there are infinite set of values for x and y, for which the equation 4x - 10y = 14 is solvable.

Answrer. Option c) infinitely many solutions .

Answer 2

Answer:

c)infinitely many solutions

Step-by-step explanation:

Given: the linear equation 4x - 10y = 14

To find: the number of solution(s)

Solution (geometrical explanation):

The one degree equation in two variables represents a straight line.

The given equation 4x - 10y = 14 is a straight line in the Cartesian plane for two dimensions.

As we know that there are an infinite number of points of the form (x, y) which lie on the above straight line.

Thus we can understand that there are infinite set of values for x and y, for which the equation 4x - 10y = 14 is solvable.