Question

Solve the following simultaneous equations graphically.
(1) x + y = 6 ; x – y = 4
(2) x + y = 5 ; x – y = 3
(3) x + y = 0 ; 2x – y = 9
(4) 3x – y = 2 ; 2x – y = 3
(5) 3x – 4y = –7 ; 5x – 2y = 0
(6) 2x – 3y = 4 ; 3y – x = 4

Answer 1

(1) x + y = 6;

x	0	6	2
y	6	0	4

x – y = 4

x	4	5	0
y	0	1	−4

Point of intersection of the two lines is (5, 1).

(2) x + y = 5

x	0	5	2
y	5	0	3

x – y = 3

x	3	0	5
y	0	−3	2

Point of intersection of the two lines is (4, 1)
(3) x + y = 0

x	3	1	2
y	−3	−1	−2

2x – y = 9

x	3	0	1
y	−3	−9	−7

​Point of intersection of the two lines is (3, −3).

(4) 3x – y = 2

x	0	1	2
y	−2	1	4

2x – y = 3

x	0	1	2
y	−3	−1	1

​Point of intersection of the two lines is (−1, −5).

(5) 3x – 4y = –7

x	1	0	−2.3
y	2.5	1.75	0

5x – 2y = 0

x	0	2	4
y	0	5	10

​Point of intersection of the two lines is (1, 2.5).

(6) 2x – 3y = 4

x	2	3.5	1
y	0	1	−0.6

3y – x = 4

x	−4	2	−1
y	0	2	1

​Point of intersection of the two lines is (8, 4).