Carla and George each went hiking.The expressions 4(ℎ + 2) – 2ℎ and 3(2 + ℎ) represent the respective distances Carla and George hiked each day. On what day number h will their distance hiking be the same?
plz help

Answer:

day 2

Step-by-step explanation:

4(h+2)-2 is 2h+8 and 3(2+h) is 3h+6, and if you do guess and check, when you fill h in as 2, both expressions equal 12.

On the 2nd day, their distance hiking is the same.

Given

Carla and George each went hiking.

The expressions [tex]4(h + 2) - 2h[/tex] and 3(2 + h) represent the respective distances Carla and George hiked each day.

Therefore,

On what day number h will their distance hiking be the same?

[tex]\rm 4(h+2)-2h = 3(2+h)\\\\4h+8-2h=6+3h\\\\2h+8=6+3h\\\\3h-2h=8-6\\\\h = 2[/tex]

Substitute the value of h in the equation first;

[tex]= 4(h+2)-2h\\\\= 4(2+2)-2\times 2\\\\=4(4)-4\\\\=16-4\\\\=12[/tex]

Substitute the value of h in the equation second

[tex]\rm =3(2+h)\\\\= 3(2+2)\\\\= 3\times 4\\\\= 12[/tex]

Hence, on the 2nd day, their distance hiking is the same.

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