Question

Determine whether the point (1, 5) is a solution to the system of equations. Explain your reasoning in complete sentences.

Answer 1

(1,5) is not a solution to the system of equations

Explanation:

To find the point (1, 5) is a solution to the system of equations.

We look at the intersection of both graphs given

Both graphs intersects at (0,2)

Intersection of two graphs is the solution of system of equations

Two graphs intersects at (0,2). so (0,2) is the solution of system of equations

(1,5) is not a solution to the system of equations

Answer 2

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. since (1,5) is not an intersection of the two lines then it is not a solution to the systems of equation