Question

A linear equation in two variables has solutions.

• A. less than 4
• B. two
• C. infinite

Answer 1

The correct option is C infinite

Consider $y=2x+4,$ a linear equation in two variables.

In the equation $y=2x+4,$ for every value of $x,$ we get a corresponding value for $y$ as shown in the table below.

$x$	$y$
0	4
-1	2
1	6
5	14
10	24

Thus, it follows that a linear equation in two variables has infinite solutions.