Question

Solve the simultaneous equations by using graphical method

x + 3y = 7
2x + y = –1

Answer 1

x + 3y = 7

x	1	– 2	4	– 5
y	2	3	1	4
x, y	(1, 2)	(–2, 3)	(4, 1)	(–5, 4)

And, 2x + y = – 1

x	0	1	– 1	– 2
y	– 1	– 3	1	3
x, y	(0, – 1)	(1, – 3)	(– 1, 1)	(–2, 3)

Two lines of the equation,

x + 3y = 7

And 2x + y = – 1

Intersect at point (– 2, 3).

∴ x = – 2 and y = 3 satisfies the equation x + 3y = 7 and 2x + y = – 1