Question

Determined which of the following ordered pairs is a solution of the given system of equations y=2x-5

Answer 1

To determine which ordered pair is a solution of the given system of equations y = 2x - 5, substitute the x and y values of each ordered pair into the equation and check if the resulting equation is true.

Step-by-step explanation:

To determine which ordered pair is a solution of the given system of equations y = 2x - 5, we substitute the x and y values of each ordered pair into the equation. If the resulting equation is true, then the ordered pair is a solution.

Let's test each ordered pair:

1. Ordered pair (0, -120): Substitute x = 0 and y = -120 into the equation: -120 = 2(0) - 5. Simplifying, we get -120 = -5. This equation is not true, so the ordered pair (0, -120) is not a solution.
2. Ordered pair (13, -2): Substitute x = 13 and y = -2 into the equation: -2 = 2(13) - 5. Simplifying, we get -2 = 26 - 5. This equation is not true, so the ordered pair (13, -2) is not a solution.
3. Ordered pair (700, 6): Substitute x = 700 and y = 6 into the equation: 6 = 2(700) - 5. Simplifying, we get 6 = 1400 - 5. This equation is true, so the ordered pair (700, 6) is a solution.

Therefore, the ordered pair (700, 6) is the solution of the given system of equations y = 2x - 5.