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).

step-by-step explanation:

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