Question

What is the solution to the system?

A. X = 4, y = -2
x = 1, y = -2
C. X = 4, y = 1
D. X = 2, y = -1

Answer 1

D.
The solution of the system implies where the two lines intersect. They do so at the x value 2 and y value -1, therefore the answer is D.

Answer 2

Correct answer: D. x = 2, y = -1

Explanation:

The point of intersection between systems of linear equations is the solution of the system. This implies that the value of this point satisfies the given systems of linear equations.

Since the graphs intersect at exactly one point, (2, -1) which gives the (single) ordered-pair solution of the system. The system is consistent and the equations are independent.

Therefore, the correct answer is D. x = 2, y = -1