Question

Which ordered pair (x, y) is the solution to the given system of linear equations? (–1, 0) (0, –1) (1, –2) (1, 4)

Answer 1

To determine the solution to a system of linear equations, substitute the values of x and y from each ordered pair into the equations and check if they are satisfied. Only the ordered pair (1, 4) is a solution.

Step-by-step explanation:

The solution to a system of linear equations is the set of values for x and y that simultaneously satisfy both equations. To determine which ordered pair is a solution, we substitute the values of x and y from each ordered pair into the system of equations and check if the equations are satisfied.

Let's take each ordered pair:

1. For (–1, 0): substitute x = -1 and y = 0 into the system of equations and solve. If both equations are satisfied, then (–1, 0) is a solution.
2. Repeat the above step for (0, –1), (1, –2), and (1, 4).

By substituting the values and solving, we find that only the ordered pair (1, 4) is a solution to the given system of linear equations.

Learn more about solving systems of linear equations