How many solutions does the system of equations have: #y= - 6x + 5; y = - 6x + \frac { 1} { 7}#?
1 Answer
Mar 31, 2017
There is no solution.
Explanation:
Consider the generic form of
Where
Both these equations have the same value for
So they have the same slope and thus are parallel
However, the value of
So they are parallel and cross the y-axis in different places. This means that they do not cross each other thus they do not have a common point.
It is the common point that forms the solution to a system of equations. As there is no common point then there is no solution.
