Question

Show graphically that each one of the following systems of equations has infinitely many solutions:
2x + 3y = 6
4x + 6y = 12

Answer 1

Answer:

Lines of both equations coincide that implies equations have infinite solutions. Because all common points lying on lines are solutions of equations.

Step-by-step explanation:

1. Mark equations as one and two respectively.
2. Obtain values of x and y in equation 1 by putting x=0 first and then put y=0.
3. Similarly obtain two coordinates for equation 2.
4. Now plot two coordinates of equation one and join the two points.
5. Similarly join the two coordinates of equation 2 .

We will observe that both lines coincide on each other.