Simultaneous Equations - Example to solve 3 - Free Educational videos for Students in K-12

Simultaneous Equations - Example to solve 3 - By tecmath

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00:0-1	get a welcome to the Tech mouth channel . His
00:02	videos are looking at simultaneous equations . Again , there's
00:05	a whole bunch of videos I've made about this already
00:08	. Uh this is just going to be an example
00:09	, which I recommend that you might try to solve
00:12	in a second and we'll work through it . There's
00:14	a bunch of links up also to the past studios
00:16	I've made of these , the first one I explained
00:18	simultaneous equations . The next couple has been going through
00:21	examples . Uh this will be the last example .
00:24	Mostly going to put a link up on how to
00:26	actually make these uh different doing . There's a nice
00:29	and easy way of working at simultaneous equations . So
00:32	just to recap simultaneous equations of where we are using
00:36	to algebraic equations here , uh basically are ones of
00:41	the exes and the wise and we're using them to
00:44	solve these unknown variables . Either the exes or the
00:47	wise . Uh the way that we're doing this is
00:51	we have to get the coefficient , the number in
00:53	front of at least one of these sets of variables
00:56	the same . So looking at these , you might
00:58	be able to look at them and think . What's
00:59	the easiest 1 ? Is that the same ? I
01:00	reckon it's easy to get These and make them into
01:03	sixes were at times this by three at this part
01:07	too . So times equation one By three an equation
01:13	to By two . So down here . All right
01:17	, work at the result of those . So ,
01:22	We're told this by three We're going eight x 3
01:24	is 24 X plus six Y . And it equals
01:31	48 x three , which is 144 . Okay ,
01:37	So we're gonna multiply equation two by 27 times two
01:41	is 14 X plus . Well , multiply this by
01:46	to really get six Y and 47 times two ,
01:51	which is 94 . So we're going to be able
01:55	to take one equation from the other now because these
01:57	are the same just going directly take one away .
02:00	Okay ? So this take away this Is 10x .
02:05	This take away this we cancel each other out .
02:08	144 . Take away 94 . We get the answer
02:11	of 50 to 10 x equals 50 . Therefore x
02:16	Equals not 10 . Almost made a mistake there .
02:21	X equals five . Okay , so we're going to
02:27	substitute our value in now uh X . To work
02:32	out what Y is . So we'll do it for
02:33	equation one . So If x equals five , five
02:38	times eight equals 40 40 plus two , Y equals
02:44	48 . So we could take 40 off both sides
02:48	. We're gonna end up with two Y . Take
02:50	it off there , we're gonna take it off here
02:52	as well . So we're gonna end up with 48
02:54	. Take 40 , which is going to be eight
02:56	. Therefore why equals four . I'm going to substitute
03:02	it into the second equation here . So If X
03:07	is 5 , 7 times excess , 35 plus three
03:12	Y , so three times four is 12 , And
03:17	indeed the answer is 47 . The answer is correct
03:20	, and therefore two Numbers are correct . Why is
03:26	four at X equals five . So hopefully doing pretty
03:29	well in those , uh I'm gonna put this final
03:32	video up where I'm going to look at a nice
03:34	way of doing these really , really rapidly . Okay
03:38	, see that

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