Question

The solutions of the equation 2x-y-5=0 are:

Answer 1

$Answer \:$

2x-y-5=0

=2x-y-5

Answer 2

$\large\underline{\sf{Solution-}}$

The given equation is

$\red{\rm :\longmapsto\:2x - y - 5 = 0}$

can be rewritten as

$\red{\rm :\longmapsto\:y = 2x - 5}$

Substituting 'x = 0' in the given equation, we get

$\blue{\rm :\longmapsto\:y = 2 \times 0 - 5}$

$\blue{\rm :\longmapsto\:y = 0 - 5}$

$\blue{\rm :\longmapsto\:y = - 5}$

Substituting 'x = 1' in the given equation, we get

$\green{\rm :\longmapsto\:y = 2 \times 1- 5}$

$\green{\rm :\longmapsto\:y = 2- 5}$

$\green{\rm :\longmapsto\:y = - 3}$

Substituting 'x = 2' in the given equation, we get

$\purple{\rm :\longmapsto\:y = 2 \times 2- 5}$

$\purple{\rm :\longmapsto\:y = 4- 5}$

$\purple{\rm :\longmapsto\:y = - 1}$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\pink{\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf - 5 \\ \\ \sf 1 & \sf - 3 \\ \\ \sf 2 & \sf - 1 \end{array}} \\ \end{gathered}}$

So,

• The equation 2x - y - 5 = 0 have infinitely many solutions.