Answer:
The solution of the system of equations plotted is (x,y) = (4,7).
Explanation:
When a system of linear equations is given, then there exist 3 cases:
Case 1: Unique single solution:
In this case, the lines of system of equations intersect at one point. That point is the solution of both the equation.
The reason we consider intersection as the solution, since that intersection point tells that it can satisfy both of the given equations simultaneously.
Case 2: No solution:
What will happen if both lines are parallel? Then there is no such point which can satisfy both the equation simultaneously. Thus, there is no solution to the given system of equation.
Case 3: Infinite number of solutions:
What will happen if both the lines are same? Well, in that case, both the lines are overlapping each other. Thus, all of the points of one line lie on other line too.
And since the given lines are made up by infinite number of points, thus we will get infinite solutions.
In your case, the lines intersect at point where x = 4 and y = 7, or say they intersect at coordinate (4,7). Thus, solution of given system of equation is x = 4 and y = 7.
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