Question

How many linear equations in $x$ and $y$ can be satisfied by $x=2,y=3$?

• A. only one
• B. only two
• C. infinitely many
• D. None of these

Answer 1

The correct option is C

infinitely many

Explanation for the correct solution:

Option (C): infinitely many

The general form of linear equation in two variables is $ax+by+c=0$.

putting $x=2,y=3$ in the above equation, we get

$2a+3b+c=0$, where $a,b$ and $c$ are real numbers.

So, here are different values of $a,b$ and $c$ that satisfies $2a+3b+c=0$.

Hence, infinitely many linear equations in $x$ and $y$ satisfy.