Question

Determine the number of solutions the systems of linear equations has and the solution(s) to the equations represented by these 2 lines?
A) The system of equations has one solution and it is (3,1)
B) The system of equations has 0 solutions, because the graph has no point of intersection.
C) The system of equations has infinite number of solutions and all real numbers satisfy both equations.
D) The system of equations has 1 solution and it is (0,6).

Answer 1

The system of equations has one solution and it is (3,1)

Step-by-step explanation:

The Number of solutions of a set of linear equations can be found from the graph of the set of equations.

No solution

If the graph of the set of linear equations are parallel to each other, the the set of equations has no solution.

Infinitely many solutions

If the graph of the set of linear equations coincide, then the set of equations has infinitely many solutions.All points on the graph are solutions of the set of equations.

Unique solution

If the graph of the set of linear equations intersect at a point, then the set of equations has unique solution.The intersecting point is the solution of the set of equations.