Percy's system equation will be correct for every value of k except 7.
Independent system
When two lines intersect at only one point the system of equations is known as the Independent system and the point denotes the solution.
Inconsistent system
When two lines are parallel and don't intersect at any point then the system of equations is known as the Inconsistent system and it has no solution.
Dependent system
When two lines are coincident therefore intersect at every point then the system of equations is known as the dependent system and it has infinite solution.
Given to us
6x + 4y = 14
3x + 2y = k
Error in Percy’s statement
For the system to have no solution the line of the equations should be parallel, which is possible for any value except 7.
As we can see the graph at k=7 the system of equations will give us two coincident lines therefore the system will have an infinite number of solutions.
Hence, Percy's system equation will be correct for every value of k except 7.
Learn more about system of equations:
https://brainly.com/question/12895249
