Hey!
The first step to solving this would be to cross multiply the fractions. So, when you set up your equation it would look something like the...
Original equation :
[tex] \frac{8}{x} = \frac{20}{10} [/tex]
New Equation {Apply Fraction Cross Multiplication} :
8 · 10 = x · 20
Now we switch the sides of the equation to get the variable x on the left side, which is generally where we always want x.
Old Equation :
8 · 10 = x · 20
New Equation {Switched} :
x · 20 = 8 · 10
Now we'll multiply the numbers 8 and 10.
Old Equation :
x · 20 = 8 · 10
New Equation {Multiplyed Left Side of the Equation} :
x · 20 = 80
Next we'll divide both sides by 20 to get x on its own.
Old Equation :
x · 20 = 80
New Equation {Added Divide Both Sides} :
[tex] \frac{x*20}{20} = \frac{80}{20} [/tex]
Now we'll solve the equation.
Old Equation :
[tex]\frac{x*20}{20} = \frac{80}{20}[/tex]
Solution {Old Equation Solved} :
x = 4
So, this means that in the equation provided x = 4.
Hope this helps!
- Lindsey Frazier ♥
