Question

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)

Answer 1

The solution is B) (3, 1).

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).