FINDING THE POINT OF INTERSECTION OF TWO LINES WORKSHEET

Question 1 :

Find the point of intersection of two straight lines given below.  

x - 5y + 17  =  0 and 2x + y + 1  =  0

(A) (2 , 8)       (B) (-2 , 3)     (C) (-2 , 5)

Solution

Question 2 :

Find the point of intersection of two straight lines given below.  

5x - 3y - 8  =  0  and 2x - 3y - 5  = 0

 (A) (1 , -1)     (B) (-2 , 1)     (C) (1 , 0)

Solution

Question 3 :

Find the point of intersection of two straight lines given below.  

4x - 7y  =  0 and 8x - y - 26  =  0

 (A) (1/2, 3)      (B) (-7/2, 1)      (C) (7/2, 2)

Solution

Question 4 :

Find the point of intersection of two straight lines given below.  

3x + 5y - 6  =  0 and 5x - y - 10  =  0

 (A) (2 , 0)      (B) (-7 , 1)     (C) (-1 , 2)

Solution

Question 5 :

Find the point of intersection of two straight lines given below.  

2x + 3y  =  5 and 3x + 4y  =  7

 (A) (1 , 1)       (B) (0 , 1)       (C) (2 , 0)

Solution

Question 6 :

Find the point of intersection of two straight lines given below.  

5x + 6y  =  25 and 3x - 4y  =  10

(A) (8/19, 5/38) 

(B) ((80/19, 25/38)) 

(C) (17/19, 5/38)

Solution

Question 7 :

Find the point of intersection of two straight lines given below.  

4x - 3y  =  3 and 3x + 2y  =  15

 (A) (9, 5)      (B) (8, 2)      (C) (3, 3) 

Solution

Question 8 :

Find the point of intersection of two straight lines given below.  

3x + 2y  =  11 and 7x - 3y  =  41

(A) (5, -2)      (B) (8, 2)      (C) (7, 5)

Solution

Question  9 :

Find the point of intersection of two straight lines given below.  

5x + 3y  =  11 and 3x + 5y  =  -3 

(A) (-5,0)    (B) (-8,2)     (C) (4,-3)

Solution

Question 10 :

Find the point of intersection of two straight lines given below.  

2x - y  =  15 and 5x + 3y  =  21

(A) (-5, 0)      (B) (-8, 2)      (C) (6, -3)

Solution

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