00:01
Hi, today in this video we will learn to solve a linear equation in one variable.
00:05
As you can see that i've just written a question here in which we have given a task to solve the equation means this linear equation and we have to check its solution and if applicable we have to tell whether this given equation is identity equation or contradiction equation we will talk later about the identity or contradiction equation but first i'm going to solve this linear equation in more variable x as you can see that we have to find the value of x in the solving this linear equation means so first of all is when we observe we did we see that we have two fractions and there is sign of addition between them so whenever we are having such a condition we take the lcum of denominators so we will take the lcm here and the as both the denominators are same so ls will be six here and the numerators we will get as it is our answer here.
01:03
Because 6 1 times and 1 5 minus x times 5 minus x and 6 1 times 5 is equals to x divided by 54 here.
01:13
So if we move further, it means that we have a 5 plus 5 10 minus x divided by 6 and is equals to x divided by 54 here.
01:27
We have two fractions and there is a sign of equality between them.
01:30
So we can do a course multiple.
01:31
Application like this one so cross multiplication means we will multiply 10 minus x with 54 and it will become 6 times x here so it means that 10 minus x multiply by 54 will be equals to 6x so now if we we need only x so i will do one thing that 10 minus x times 54 i will divide it by six here because i want to remove six from this x i want to isolate this x so 6 1 times 6 1 times will be they cancel out and 6 1 times and 6 9 times 54 here we will it will be cancelled out so we will be left with 9 times 10 minus x equals to x here so 9 times 10 is 90 minus 9x will be equal to x here if we will be equal to x here if we move further, this will become like 90 equals to x.
02:38
I will just shift 9x towards the right inside here.
02:40
It will become plus 9x and it means that 90 is equals to 10x here.
02:45
So now i want to, i want just x here.
02:49
So i will do opposite of multiplication that is division.
02:53
So i will divide both sides by 10...