Geometry Proofs | Algebra Proofs | MathHelp.com - By MathHelp.com
Transcript
| 00:00 | In this problem were given that five X -4 equals | |
| 00:06 | six And were asked to prove that x equals two | |
| 00:12 | . To set up this proof , we start with | |
| 00:14 | a two column chart . On the left side of | |
| 00:17 | the chart we have our statements and on the right | |
| 00:21 | side we have our reasons . The very first statement | |
| 00:26 | in our proof will be the given statement . So | |
| 00:30 | on the left we can say that statement one is | |
| 00:34 | five x -4 equals six . And the reason for | |
| 00:41 | this statement is that it's given so reason one is | |
| 00:47 | given . Now to complete this proof , we simply | |
| 00:53 | solve the equation . Our first step in solving the | |
| 00:58 | equation is to add for to both sides . Mhm | |
| 01:05 | . To get five x equals 10 . So statement | |
| 01:11 | to Is five x equals 10 . And remember the | |
| 01:17 | reason that we can add the same quantity to both | |
| 01:21 | sides of an equation is based on the addition property | |
| 01:25 | of equality . So reason to is the addition property | |
| 01:31 | of equality . Yeah . Yeah . Yes . Since | |
| 01:43 | we now have five x equals 10 . Our next | |
| 01:47 | step in solving the equation is to divide both sides | |
| 01:51 | of the equation by five . Yeah . To get | |
| 01:57 | X equals two , so statement three Is x equals | |
| 02:03 | two . And remember the reason that we can divide | |
| 02:08 | by the same quantity on both sides of an equation | |
| 02:12 | is based on the division property of equality . So | |
| 02:16 | reason three is the division property of equality . Yeah | |
| 02:25 | . Oh yeah . Mhm . Yeah notice that in | |
| 02:33 | our statements column we now have the X equals two | |
| 02:38 | , which is what we set out to prove . | |
| 02:41 | So we have completed our proof . Think of this | |
| 02:45 | proof is just a fancy way of solving an equation | |
| 02:50 | where we have to give a reason for each step | |
| 02:53 | along the way . |
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