Question

iv) Complete the following table in order to get the graph
of the equation 2x + y = 5
X 0 __ 2
y 5 0 __
(x,y) (0,5) (__) (__)​

Answer 1

Answer

The given linear equation is 2x−y=4

2x−y=4

Put y=0

⇒  2x−0=4

⇒  2x=4

∴  x=2

Substutute x=2 in equation,

⇒  2(2)−y=4

⇒  4−y=4

∴   y=0

⇒  (x,y)=(2,0)

⇒  The graph of the linear equation 2x−y=4 cuts x-axis at (2,0).