Mathematics Distance Learning | MathHelp.com - By MathHelp.com
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| 00:0-1 | to solve this system of equations by addition notice that | |
| 00:05 | when we add the two equations together , neither one | |
| 00:09 | of our variables will cancel out in this situation , | |
| 00:14 | we need to set things up so that when we | |
| 00:17 | do add the equations together , one of our variables | |
| 00:21 | will cancel out . Notice that we have a two | |
| 00:25 | a . In our first equation . Therefore if we | |
| 00:29 | had a negative to A in our second equation then | |
| 00:33 | Iras would cancel out . In order to create a | |
| 00:37 | negative to A . In our second equation . We | |
| 00:41 | simply multiply both sides of our second equation by -2 | |
| 00:48 | . Mhm . Mhm . Yeah . Yeah . And | |
| 00:55 | rewriting both equations , we have to A plus five | |
| 01:02 | B equals 11 . And for our second equation we | |
| 01:08 | have a negative to a plus eight B equals 28 | |
| 01:17 | . Now when we add our two equations together are | |
| 01:21 | a terms will cancel out And we have 13 B | |
| 01:28 | equals 39 Dividing both sides by 13 . Yeah . | |
| 01:38 | We find that B equals three . Yeah . To | |
| 01:45 | solve for a we simply plug a three back in | |
| 01:49 | for be in either one of our two original equations | |
| 01:54 | . So let's use our first equation To a plus | |
| 01:58 | five b equals 11 . If we plug a three | |
| 02:04 | back in for B , this gives us to A | |
| 02:11 | Plus five times 3 equals 11 , Which simplifies to | |
| 02:18 | two . A plus 15 equals 11 . and subtracting | |
| 02:25 | 15 from both sides , We have to a . | |
| 02:31 | equals negative four And dividing both sides by two . | |
| 02:37 | We find that A equals negative two , So a | |
| 02:44 | equals negative two And B equals three . So we | |
| 02:49 | write our answer in the form of the ordered pair | |
| 02:52 | negative 23 field . Mhm . Notice that A comes | |
| 03:01 | before B . In our answer always put your answer | |
| 03:05 | in alphabetical order . |
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