Question

The linear equation 4x – 10y = 14 has

Answer 1

The linear equation 4x – 10y = 14 has infinitely many solution

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 .