Point of Intersection Question2

In this page Point of Intersection Question2 we are going to see solution of second question in the worksheet point of intersection.

What does mean by point of intersection:

If two straight lines are not parallel then they will meet at a point.This common point for both straight lines is called the point of intersection.If the equations of two intersecting straight lines are given,then their intersecting point is obtained by solving equations simultaneously. Find the intersection point of the straight lines  5 x - 3 y - 8 = 0  and

2x - 3 y - 5  = 0

Solution:

5 x - 3 y - 8 = 0 ----- (1)

2x - 3 y - 5  = 0 ------(2)

In the first equation coefficient of x is 5,in the second equation the coefficient of x is 2 and we have same signs for both equations. The coefficient of y in the first equation is - 3 and coefficient of y in the second equation is also - 3 and we have same signs.

In order to cancel the y term we have to subtract the first equation from the second equation.

5 x - 3 y - 8  = 0

2 x - 3 y - 5 = 0

(-)   (+)  (+)

----------------

3 x - 3 = 0

---------------

3 x  = 3

x = 3/3

x = 1

Substituting x = 1 in the first equation

5 (1) - 3 y - 8 = 0

5 - 8 - 3 y = 0

-3 - 3 y = 0

-3 y = 0 + 3

-3 y = 3

y = 3/(-3)

y = -1

So the intersection point of the straight lines is (1,-1). Point of Intersection Question2  Point of Intersection Question2

 Questions Solution (1) Find the intersection point of the straight lines  x - 5y + 17 =0  and 2x + y + 1 = 0 (3) Find the intersection point of the straight lines 4 x - 7 y = 0  and 8 x - y - 26 = 0 Solution (4) Find the intersection point of the straight lines  3 x + 5 y - 6 =0  and 5 x - y - 10 = 0 Solution (5) Find the intersection point of the straight lines 2 x + 3 y =5  and 3 x + 4 y = 7 Solution (6) Find the intersection point of the straight lines 5 x + 6 y = 25  and 3 x - 4 y = 10 Solution (7) Find the intersection point of the straight lines 4 x - 3 y = 3  and 3 x + 2 y = 15 Solution (8) Find the intersection point of the straight lines 3 x + 2 y = 11 and 7 x - 3 y = 41 Solution (9) Find the intersection point of the straight lines 5 x + 3 y = 11  and 3 x + 5 y = -3 Solution (10) Find the intersection point of the straight lines 2 x - y = 15  and 5 x + 3 y = 21 Solution

Point of Intersection Question2 to Analytical Geometry 