Quelll34101 Quelll34101
  • 21-05-2020
  • Mathematics
contestada

(3x-a)/(x+2a)=2a/3


answer should be in format _______a≠4.5

Respuesta :

shallomisaiah19
shallomisaiah19 shallomisaiah19
  • 23-05-2020

Answer:

[tex]\large\boxed{x=\dfrac{4a^2+3a}{9-2a}}[/tex]

Step-by-step explanation:

[tex]\dfrac{3x-a}{x+2a}=\dfrac{2a}{3}\qquad\text{cross multiply}\\\\(3)(3x-a)=(2a)(x+2a)\qquad\text{use the distributive property}\\\\(3)(3x)+(3)(-a)=(2a)(x)+(2a)(2a)\\\\9x-3a=2ax+4a^2\qquad\text{add}\ 3a\ \text{to both sides}\\\\9x=2ax+4a^2+3a\qquad\text{subtract}\ 2ax\ \text{from both sides}\\\\9x-2ax=4a^2+3a\qquad\text{distributive}\\\\(9-2a)x=4a^2+3a\qquad\text{divide both sides by}\ (9-2a)\neq0\\\\x=\dfrac{4a^2+3a}{9-2a}[/tex]

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