Question

Which ordered pair is a solution of the system below?

{y+2=x
y=2x−5}
Question 8 options:

(1, -3)


(3, 1)


(2, 0)


(0, -5)

Answer 1

Hello. The answer to your problem is (3, 1). I've included a screenshot of the graph.

Answer 2

ANSWER

(3,1)

Step-by-step explanation

The given system of equations are


`y + 2 = x...(1)`

and


`y = 2x - 5...(2)`

Substitute the first equation into the second equation.

This implies that,


`y = 2(y + 2) - 5`

Expand using the distributive property,


`y = 2y + 4 - 5`

Group similar terms,


`y - 2y = 4 - 5`


`- y = - 1`

Multiply both sides by -1.


`y = 1`

Put y=1 into equation (1).


`1 + 2 = x`


`x = 3`

The solution is (3,1)


The correct choice is B.