Finding unknown fractional variables in an equation applying distributive law.

[askan]

This problem has been the pain of my ass for a whole day because I suddenly realized I did not know how to find unknown fractional variables. So yeah if anyone could help me it would be much appreciated.

 

[Dr.Peterson]

View attachment 28638

This problem has been the pain of my ass for a whole day because I suddenly realized I did not know how to find unknown fractional variables. So yeah if anyone could help me it would be much appreciated.

Just focus on one term, since you recognize that this is about distribution.

What expression would you have to multiply [imath]y^2[/imath] by to get [imath]\displaystyle\frac{x^2y^2}{3z}[/imath]?

 

[Steven G]

Factor the right hand side and your done.

 

[tkhunny]

Who told you that variable names were ANY different from numbers?

Why did you believe them?

2(3+4) = 2*3 + 2*4
x(y+z) = x*y + x*x
cat(dog + mouse) = cat*dog + cat * mouse

 

[askan]

Thanks guys !! I realized it could be solved this way after a long nap. Though your reply were much helpful in helping me realize I was doing it right.

 

[askan]

Who told you that variable names were ANY different from numbers?

Why did you believe them?

2(3+4) = 2*3 + 2*4
x(y+z) = x*y + x*x
cat(dog + mouse) = cat*dog + cat * mouse

Love your style man.