Q. 85.0( 1 Vote )

Solve the following equations by graphical method-0.3x + 0.4y = 3.3; 0.6x + 0.8y = 2.4

Answer :

For solving these equations by graphical method, we need to form separate tables for each equation.

We have the equations,

0.3x + 0.4y = 3.2 …(i)

0.6x + 0.8y = 2.4 …(ii)

Take equation (i), we have

0.3x + 0.4y = 3.2

We can write it as,

0.4y = 3.2 – 0.3x


Now, assign values of x and compute values of y.

We can assign values of x = …, -3, -2, -1, 0, 1, 2, 3, 4,…

It is not necessary to put all values. But to form an accurate graph, it is necessary to put atleast three values.

For equation (iii):

Say, we put x = 0.


y = 8

We have, (0, 8).

Now, put x = 1.


y = 7.25

We have, (1, 7.25).

Now, put x = 2.


y = 6.5

We have, (2, 6.5).

We can further find out y by putting values of x = 3, 4, 5,… but here we have just put three values.

Record it in a table,

Now, take equation (ii),

0.6x + 0.8y = 2.4

We can write it as,

0.8y = 2.4 – 0.6x


Assign values for x and compute y.

For equation (iv):

Say, we put x = 0.


y = 3

We have, (0, 3).

Now, put x = 1.


y = 2.25

We have, (1, 2.25).

Now, put x = 2.


y = 1.5

We have, (2, 1.5).

Record it in a table.

Represent the two tables on a graph, we get

Notice that, the two lines are parallel to each other. (means, these two lines will never meet each other)

If these lines will never intersect, then it won’t have any solution.

Thus, there are no solutions to these set of equations.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz on Linear Equations34 mins
Interactive session on Linear Equations in Two VariablesFREE Class
NCERT | Linear Equations41 mins
Quiz | Testing Your Skills on Linear Equation in Two Variables36 mins
Quiz | Important Questions on Linear Equations In Two Variables49 mins
Champ Quiz | Do you Know about Linear Equations ?35 mins
Master Linear Equations40 mins
Quiz | Imp. Qs. on Linear Equations44 mins
Quiz | Solve Problems on Linear Equations37 mins
Champ Quiz | Linear Equation45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses