Which ordered pair is a solution of the system below?

{y+2=x

y=2x-5}

A) (1, - 3)

B) (3, 1)

C) (2, 0)

D) (0, - 5)

The solution is B) (3, 1).

Step-by-step explanation:

For the system of equations given, there are few different ways to solve. Since the second equation y = 2x - 5 is already solved for 'y', we can use substitution and place the expression '2x - 5' in for 'y' in the first equation and solve:

2x - 5 + 2 = x

We can also solve for 'y' in the first equation and then set the two equations equal to each other:

y + 2 - 2 = x - 2 or y = x - 2 so, 2x - 5 = x - 2

Either way, when we solve for 'x', we get:

2x - 3 = x or - 3 = - x, so x = 3

Plugging in the value of 'x' into the second equation:

y = 2 (3) - 5 or y = 6 - 5 or y = 1

The ordered pair (x, y) would be (3, 1).