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need math help on Locus/Loci?

please any help. its the last question. and also if ya could do a step by step that would be great!!!

Find the locus of points that satisfies both equations. State the answer as an ordered pair

2x-3y=5 x-2y=3

1 Answer

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  • ?
    Lv 7
    6 years ago

    Where the teacher is telling you to state the answer as an ordered pair, it's pretty silly to call it the "locus of points" satisfying both equations. "Locus" usually refers to a collection of points, not a single point. It's not technically wrong, it's just pretentious!!

    OK, well, by substitution the first equation becomes 2(3 - 2y) - 3y = 5 => 1 - 7y = 0 => y = 1/7, x = 19/7. So the answer is (19/7, 1/7).

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