Q12 of 44 Page 3

Solve each of the following systems of equations graphically:

3x + y + 1 = 0,


2x – 3y + 8 = 0. (CBSE 2006)

We can rewrite the equations as:


3x + y = - 1


& 2x – 3y = - 8


For equation, 3x + y = - 1


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


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



x

0

- 1/3

y

- 1

0

Now similarly solve for equation, 2x – 3y = - 8



x

0

- 4

y

8/3

0

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



Hence, the solution so obtained from the graph is ( - 1,2), which is the intersecting point of the two lines.

More from this chapter

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Solve each of the following systems of equations graphically:

3x + 2y = 4,


2x – 3y = 7. (CBSE 2006)

 11

Solve each of the following systems of equations graphically:

3x + 2y = 12


5x – 2y = 4. (CBSE 2006)

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Solve each of the following systems of equations graphically:

2x + 3y = 2,


x – 2y = 8. (CBSE 2007)

 14

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the x - axis:

4x – 3y + 4 = 0, 4x + 3y – 20 = 0 (CBSE 2008)