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All right in this video we#39’re going total about solving linear equations and solving equations in general has generated just a tremendous amount of mathematical research so it#39;unfortunately not one of those things that you can always just say do this and this and you#39’ll get an answer depending on the type of equation you have things can be pretty tedious and pretty difficult but we#39’re going to walkabout one of the most fundamental casein this video a linear equation is basically where you have a variable and almost always you#39’ll to see X to the first power and their#39’s going to be unequal sign hence the equation in there somewhere and just numbers floating around as Wells what we#39;retrying to do is figure out what value if any we can substitute inform X so that on the left side when wed the arithmetic#39’ll get the exact same thing as on the right side so in this case it#39’s probably pretty easy to guess that x equals 2 butte point of these problems is you want to learn the mechanics on how you go about doing the problem because when toucans#39’t guess the solution you#39’ll still have these mechanical algebraic ways Togo about solving the problem a key thing to remember and this is what used to help me you#39’re at the end of the problemyou'’re basically just trying to get X by itself on one side so to do that recall that addition and subtraction undo each other multiplication and division undo each other so for example in this problem IN#39’m adding 2 to get rid of that#39’m going to subtract 2, and you have to-do it from both sides, so the twos will cancel out in 4 minus 2 again is going to give us x equals 2 which we said was our solution in the very first platelet#39’s do some more of these suppose Have 3x plus 4 equals 17 okay so in this problem you know it may be a little harder to guess what X is what value it should be, but the idea is we#39’re still can use these basic algebraic rules to help us get a solution so in my head again IN#39’m thinking IN#39’m trying to get the by myself the first thing IN#39’ll do is anything that doesn't#39’t have an X attached to it IN#39’ll move that to the other sides I can subtract 4 from both sides IN#39;lobe left with 3x on the left side 17minus 4 is 13 and now again I want Roget the X by itself but notice it#39;being multiplied by 3 well to undo multiplication I do division if you divide one side you have to divide the other side as well the 3s will cancelous leaving you with just x equals welling this case 13 over 3 so not a nice whole number but hey that#39’s okay you know their#39’s no rule that says equations the solutions have to be whole numbers so let#39’s keep on doing some more of these basic linear equations suppose I have 5 times 2 plus X equals 3times 4 minus X so again the basic idea what IN#39’m going to do in this case is IN#39;going to get my X#39’s all on one side and then IN#39’m going to basically divide by whatever coefficients left so as general rule the...
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