Question

How many solutions exist for the system of equations below?

3x+y - 18
(3x+y=16
O none
one
O two
infinitely many
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sans

Answer 1

10

Explanation:

Answer 2

0 (None) solutions

Explanation:

This Linear System has no Solution. It means that mathematically speaking, whatever value inserted for x, or y this will not result in an equality, i.e. we'll always have a false value. Like this:

`\left\{\begin{matrix}3x+y=18&&\\3x+y=16&&\end{matrix}\right.\Rightarrow 3x+(16-3x)=18\Rightarrow 0x=-2`

FALSE Because
`0x\\eq-2` then This Linear System does not have solution.

Geometrically, both equations are parallel lines, so they do not have any common point, i.e. solution. Notice they both have the same slope. Check the graph below.