Question

Ma poate ajuta si pe mine cineva? Stiind ca a/b=4 , unde a si b sunt numere rearle nenule , aratati ca 3a-2ab/b=10 ( slash = supra )

Answer 1

$\frac{a}{b} =4 =\ \textgreater \ a= 4b$

$\frac{3a-2ab}{b} =10$

$\frac{a(3-2b)}{b} =10$

$\frac{4b(3-2b)}{b}=10$

4(3-2b)=10

12-8b=10

-8b=-2    | * (-1)

8b=2  => b= 2/8 => b= 1/4

a=4b => a = 4 * 1/4 => a=1