Question

(b)Solve the following system of equations graphically:

3x-y=2 and 9x-3y=6​

Answer 1

Refer the attached figure.

Step-by-step explanation:

Given : System of equations 3x-y=2 , 9x-3y= 63x−y=2,9x−3y=6

To find : Show graphically that the system of equations has infinitely solutions.

Solution :

We have given the system of equations

3x-y=23x−y=2 .......(1)

9x-3y= 69x−3y=6 ........(2)

If we reduced the equation (2) by dividing 3 both side,

3x-y= 23x−y=2 ........(2)

The equation (2) became equation (1),

i.e. Both equations are equal so they have infinitely many solutions.

We plot both the equations represented by a single line.

Graphically we say that both equation forming a single line means they have infinitely many solutions.

Refer the attached figure below.

Answer 2

The answer is in this attachment