The equation that we have been given is:
[tex]\frac{9}{3x}[/tex] = [tex]\frac{4}{x+2}[/tex]
In order to solve for the value of 'x', we'll have to use cross-multiplication.
Cross-multiplication is a method in which the numerator of one fraction is multiplied by the denominator of another fraction that it is equal to.
Let's cross-mutliply the numerators and denominators:
[tex]\frac{9}{3x}[/tex] = [tex]\frac{4}{x+2}[/tex]
9*(x+2) = 4*(3x)
Distribute the numbers into the parentheses.
9x + 18 = 12x
Simplify by subtracting both sides by 9x:
9x - 9x + 18 = 12x - 9x
0 + 18 = 3x
18 = 3x
3x = 18
Divide both sides by 3:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{18}{3}[/tex]
x = 6
Let me know if you'd like me to explain anything I did here.
- breezyツ
