00:01
So, in this video, we are looking at additional property of equality for this equation here and we are planning to check the proposed solution of this equation as well.
00:09
So the additional property states that if a equals to b, then a plus c equals to b plus c, assume that this is equation one.
00:17
So this given problem, we've got x plus 7 by 8 equals to 9 by 8.
00:22
So therefore let's say x plus 7 by 8 is equal to a, 9 by 8 is equal to b.
00:28
So if you add in equation 1 if you add c to be equal to minus 7 by 8 on both sides from the rule of addition property we can see that x plus 7 by 8 plus minus 7 by 8 equals to 9 by 8 plus minus 7 by 8 obviously that would mean x plus 7 by 8 minus 7 by 8 equals to 9 by 8 minus 7 by 8 so these two get cancelled and then you've got x left on the left hand side equals to 9 by 8 minus 7 by 8 which would essentially be 2 because 9 minus 7 is 2 divided by 8 is the common factor.
01:06
That becomes x equals to 1 by 4.
01:10
So that's actually the solution to this problem which is equation 2.
01:14
Now to check this obviously the easy way of checking is the left hand side of the equation after substituting the value of x should be equal to the right inside of the equation.
01:24
So let's substitute the value of x in the main equation that we are given...