Question

Solve the following simultaneous equations graphically.
(1) 2x + 3y = 12 ; x – y = 1
(2) x – 3y = 1 ; 3x – 2y + 4 = 0
(3) 5x – 6y + 30 = 0 ; 5x + 4y – 20 = 0
(4) 3x – y – 2 = 0 ; 2x + y = 8
(5) 3x + y = 10 ; x – y = 2

Answer 1

(1) 2x + 3y = 12

x	0	6	3
y	4	0	2

x – y = 1

x	0	1	3
y	−1	0	2

The solution of the given equations is the point of intersection of the two line i.e(3, 2).

(2) x – 3y = 1

x	1	4	7
y	0	1	2

3x – 2y + 4 = 0

x	0	2	4
y	2	5	8

The solution of the given equations is the point of intersection of the two line i.e ($-2,-1$).

(3) 5x – 6y + 30 = 0

x	0	–6
y	5	0

5x + 4y – 20 = 0

x	0	4
y	5	0

The solution of the given equations is the point of intersection of the two line i.e (0, 5).

(4) 3x – y – 2 = 0

x	0	1
y	–2	1

2x + y = 8

x	0	4
y	8	0

The solution of the given equations is the point of intersection of the two line i.e (2, 4).

(5) 3x + y = 10

x	0	1
y	10	7

x – y = 2

x	0	2
y	–2	0

The solution of the given equations is the point of intersection of the two line i.e (3, 1).