A trending math question.

We are asked to find x over y if this is equal to this. Let's do that together. Solution. Solution. The first thing we need to do is, this is the question itself, that 5y minus x divided by 8y plus 3x is equal to 1 over 5. This is actually a past time question. So the first thing is we need to cross multiply. So if we cross multiply we're going to have 8y plus 3x times 1 will still give us what 8y plus 3x is equal to. Then 5 is going to multiply 5y minus x. So it's going to be 5 brackets 5y minus x. Let me come to this side of the board. Alright now looking at this what do we do next? We need to open this bracket. So we have 8y plus 3x is equal to 5 times 5y is 25y minus 5 times x is 5x. Okay now look at this question. The question says we should find x over y right? So let's take x to one side and y to one side. Let's collect like terms. So we are going to shift 3x to the other side and when we do that it becomes minus 3x okay. Then we're going to bring 25 to this side and when this 25 crosses to this side it becomes what? Minus 25y. So we now have that 8y minus 25y is equal to this minus 5x is your reading. So if 3x should cross over it becomes minus 3x. Okay now 8y minus 25y is going to give us 17y right? Yes so it's going to give us minus 17y sorry. It's equal to minus 5x minus 3x will give us minus 8x. Alrighty now remember that we are looking for x over y. So first of all let's divide both sides by y. Let's divide both sides by y. So we have this over y this over y. So when we cancel y I am left with minus 17 is equal to minus 8x over y. Alright let's divide both sides again by minus 8. Let's divide both sides by minus 8. So it's going to be minus 17 over minus 8 is equal to minus 8x over y times 1 over minus 8 right? Yeah so that means minus 8 we cancel minus 8 here. Now in this case minus we cancel minus so we have that 17 over 8 is equal to x over y and that is the solution.