Lois C. answered 08/18/24
patient, knowledgeable, and effective tutor for secondary mathematics
Since his total baggage weight is 35 kg, we want to write an equation representing all the pieces that are making up the total weight. The unknown weight is that of each checked bag, so let's call that weight w, and since there are two checked bags, their combined weight would be 2w. In addition to this, there is the carry-on backpack which weighs 4 kg. If we put all of these weights together, we end up with the sum of 2w and 4 for a total weight of 35 kg. So our equation would be 2w + 4 = 35.
Now we have a 2-step equation which can be solved for w by first subtracting 4 from each side of the equation. Then we would divide both sides of the new equation by 2 to isolate the w, giving us the weight of each checked bag.