Question

Solve the following systems of equations graphically:
2x – 3y + 13 = 0
3x – 2y + 12 = 0

Answer 1

Concept :

To draw the graph of a linear equation in two variable a series of steps to be followed which is given below:

• Step I:Obtain the linear equation.  Let the equation be  ax + by + c = 0
• Step II: Express one unknown quantity in terms of other here. Express y in terms of x to get y = - (ax + c /b)
• Step III: For any two values of x, calculate the corresponding values of y  from the expression in step II to obtain two solutions say (x1, y1 and( x2 ,y2)
• Step IV: plot the points  (x1, y1 and( x2 ,y2)  on graph paper on a suitable scale.
• Step V:Draw a  line passing through points marked in step IV. The line so obtained is the graph of the equation  ax + by + c = 0  

 

Given:  

2x – 3y + 13 = 0

3x – 2y + 12 = 0

Solution :

Solution and Graph of this systems of equations is in the attachment below.

 

Hope this answer will help you…

 

Some more questions from this chapter :  

Solve the following systems of equations graphically:

x-2y=5

2x+3y=10

https://brainly.in/question/15918170

Solve the following systems of equations graphically:

x+y=3

2x+5y=12

https://brainly.in/question/15918168

Answer 2

Answer:

In the graph it is given follow