Solving Algebra Problems | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | to solve this system of equations by substitution . The | |
| 00:05 | idea is simple since our first equation tells us that | |
| 00:10 | Y equals three X plus two . This means that | |
| 00:15 | we can substitute a three X plus two In for | |
| 00:19 | the why ? In our 2nd equation ? In other | |
| 00:23 | words , since why means the same thing as three | |
| 00:28 | X plus two . We can replace the Y in | |
| 00:32 | the second equation With a three x plus two . | |
| 00:37 | And rewriting our second equation . We now have seven | |
| 00:43 | x -4 times parentheses . three x plus two equals | |
| 00:51 | seven . Now we can solve for X By 1st | |
| 00:56 | distributing the -4 through the parentheses . To get seven | |
| 01:02 | x minus 12 , X -8 equals seven . And | |
| 01:10 | simplifying further , we have negative five X minus eight | |
| 01:16 | equals seven , Adding 8 to both sides , gives | |
| 01:23 | us -5 , x equals 15 And dividing both sides | |
| 01:31 | by -5 . Mhm . We find that x equals | |
| 01:37 | -3 . Mhm . To solve for why we plug | |
| 01:44 | a negative three back in for the X . In | |
| 01:48 | our first equation , and we have Y equals three | |
| 01:55 | times negative three plus two , which simplifies to Y | |
| 02:02 | equals negative nine plus two , Or y equals -7 | |
| 02:11 | . What since X equals negative three ? And why | |
| 02:17 | equals -7 ? Our solution is the ordered pair -3 | |
| 02:25 | -7 . |
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