Question

si b-a =2y
a al cuadrado sobre 16 es igual a b el elevado al cuadrado sobre 25 es

Answer 1

DATOS:

b - a = 2y
a²/16 = b²/25

Solución:

b - a = 2y
b = 2y + a

a²/16 = b²/25
25a² = 16b²
√25a² = √16b²
5a = 4b
a = 4b/5
a = 4(2y + a)/5
5a = 8y + 4a
a = 8y
b = 2y + a ⇒ 2y + 8y = 10y

Answer 2

$b-a=2y\qquad\qquad \frac{a^2}{16}= \frac{b^2}{25} \\ \\ a^2*25=b^2*16\to a^2= \frac{b^2*16}{25}\to a= \sqrt{\frac{b^2*16}{25}} \to a= \frac{4b}{5} \\ \\ b-a=2y\to b-\frac{4b}{5}=2y \\ \\ \frac{1}{5}b=2y \\ \\ b= 10y \\ \\ a= \frac{4b}{5}\to a=\frac{4*10y}{5}\to a=4*2y\toa=8y$

Espero que te sirva, salu2!!!!