Answer :

We can rewrite the equations as:


x – y = - 1


& 3x + 2y = 12


For equation, x – y = - 1


First, take x = 0 and find the value of y.


Then, take y = 0 and find the value of x.



Now similarly solve for equation, 3x + 2y = 12



Plot the values in a graph and find the intersecting point for the solution.



Hence, the solution so obtained from the graph is (2,3), which is the intersecting point of the two lines.


The vertices of the formed triangle by these lines and the x - axis in the graph are A(2,3), B( - 1,0) and C(4,0).


Clearly, from the graph we can identify base and height of the triangle.


Now, we know


Area of Triangle = 1/2 × base × height


Thus, Area(∆ABC) =


[ Base = BO + OC = 1 + 4 = 5 units & height = 3 units]


Area(∆ABC) = 7.5 sq. units


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two Variables62 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 mins
Revision on Word Problems - 1Revision on Word Problems - 1Revision on Word Problems - 150 mins
Revision on Word Problems - 2Revision on Word Problems - 2Revision on Word Problems - 235 mins
Two Stories about FlyingTwo Stories about FlyingTwo Stories about Flying39 mins
Human Reproduction in One ShotHuman Reproduction in One ShotHuman Reproduction in One Shot45 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
caricature
view all courses
RELATED QUESTIONS :

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics

Solve the followiKC Sinha - Mathematics