Question

Complete the following table to draw the graph of the equation x + y = 3:

x	3	`square`	`square`
y	`square`	5	3
(x, y)	(3, 0)	`square`	(0, 3)

Answer 1

x + y = 3

x	3	\[\boxed{−2}\]	\[\boxed{0}\]
y	\[\boxed{0}\]	5	3
(x, y)	(3, 0)	\[\boxed{(−2, 5)}\]	(0, 3)

[Substitute y = 5 in the given equation. 

x + 5 = 3 ∴ x = 3 − 5 ∴ x = −2. 

Substitute y = 3 in the given equation. 

x + 3 = 3 ∴ x = 3 − 3 ∴ x = 0.]