How many solutions exist for the system of equations below?
2 answers:
Answer:
0 (None) solutions
Step-by-step 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:
FALSE Because 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.
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Step-by-step explanation:
First, let's move the to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :