Question

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A. There is exactly one solution.
В.
There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.

Answer 1

C. There are infinitely many solutions.

Explanation:

If the graphs of linear equations are the same line, then any point (solution) on one line is automatically a point on the "other" line. For example,

`\begin{array}{l} x + y =10 \\ 2x + 2y =20 \end{array}`

The graphs of these "two" equations is only one line, x + y =10. The point
`(5, 5)`is on "both" lines.