Question

Comment regarding solution of a linear equation of two variables.

• A. Value of one variable can be known by substituting possible value of the other variable.
• B. The solutions are called ordered pairs.
• C. They have multiple solutions.

Answer 1

Answer: (A), (B), (C)

They have multiple solutions.

Let's consider a linear equation of two variables.

$2x+y=4$

Substitute $x=1$
$\Rightarrow 2\left(1\right)+y=4$
$\Rightarrow y=4-2=2$

$\therefore$ Value of $y$ can be obtained by substituting a possible value of $x.$

Here, $(x_1,y_1),$ i.e., $(1,2)$ is a called a ordered pair.
The graph of the given equation is a follows:

There are multiple ordered pairs of $(x,y).$
$\therefore$ It has multiple solutions.

Hence, all the given options are correct.