Linear equation systems word problems11/8/2023 ![]() ![]() When I look at this version, these two, this system of equations right over here on the left, where I've already solved for L, to me this feels like substitution We have two equations with two unknowns, and there's two ways that we could go about approaching them. I could write it like thatĪgain, L plus H is equal to 18, and obviously there's other ways that you could mathematically write this or that would be equivalent to this. And now what about that second one? And the two of them have 18 keys combined. But that's ways that weĬan mathematically write that first sentence. Manipulation to go from one to the other. So we could write it like that, we could also write it that the difference between the number of keys Leo has and the number of keys Hazel has is four, so another alternative, weĬould have written it like this, Leo minus Hazel is equal to four, and these are algebraically equivalent, it doesn't take much Is four more than the number Hazel has, so it's Hazel plus four. On his keychain than Hazel, so we could write that Leo is equal to, the number of keys that Leo has So how can we write that mathematically? So Leo has four more keys More keys on his keychain than Hazel does. Set up these two constraints that they gave us as equations. Getting to the solution, but I'm trying to explain it out for you, so I will do that. Have to write all this out, you would trying to be Number of keys for Hazel, and obviously if you wereĭoing this on a test, like the SAT, you wouldn't The number of keys Leo has, keys, I'll just say for Leo, and then H equaled the So it's feeling like weĬan set up two equations with two unknowns. His keychain than Hazel, and that the two of them Pieces of information, Leo has four more keys on Hazel has on her keychain, and that's what they're asking us for, but we also don't know Have on her keychain? So pause this video and see If Leo has four more keys on his keychain than Hazel does on hers and the two of them have 18 keys combined, how many keys does Hazel ![]() We are told that Hazel and Leo areĬomparing the number of keys on their keychains.
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