Q13 of 44 Page 3

Solve each of the following systems of equations graphically:

2x + 3y = 2,


x – 2y = 8. (CBSE 2007)

For equation, 2x + 3y = 2


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


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



x

0

1

y

2/3

0

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



x

0

8

y

- 4

0

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



Hence, the solution so obtained from the graph is (4, - 2), which is the intersecting point of the two lines.

More from this chapter

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11

Solve each of the following systems of equations graphically:

3x + 2y = 12


5x – 2y = 4. (CBSE 2006)

 12

Solve each of the following systems of equations graphically:

3x + y + 1 = 0,


2x – 3y + 8 = 0. (CBSE 2006)

 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)

 15

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 y - axis:

2x – 3y = 12, x + 3y = 6. (CBSE 2008)