## Which ordered pair is the solution to the following system? y = x – 2 and 4x + y = 23

Question

Which ordered pair is the solution to the following system? y = x – 2 and 4x + y = 23

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Mathematics
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2021-07-21T05:04:30+00:00
2021-07-21T05:04:30+00:00 1 Answers
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## Answers ( )

Answer:x=5, y=3

Step-by-step explanation:y=x−2;4x+y=23

Step: Solve y=x−2 for y:

Step: Substitute x−2 for y in 4x+y=23:

4x+y=23

4x+x−2=23

5x−2=23(Simplify both sides of the equation)

5x−2+2=23+2(Add 2 to both sides)

5x=25

5x/5 = 25/5(Divide both sides by 5)

x=5

Step: Substitute 5 for x in y=x−2:

y=x−2

y=5−2

y=3(Simplify both sides of the equation)