Mathematics: Solve for x: 3x-a/x+2a=2a/3 __a ≠ 4.5

Solve for x: 3x-a/x+2a=2a/3 __a ≠ 4.5 - id3223454196040, justyne2004

Ответ:

jaysevans

12.01.2022

$\large\boxed{x=\dfrac{4a^2+3a}{9-2a}}$

Step-by-step explanation:

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

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Ответ:

eaglesjohnson414

12.12.2022

Mathematics

Multiplying a number by 10 simply means to add a 0 at the end of the number, or to shift the decimal separator one unit to the right. So, for example,

$3 \cdot 10 = 30,\ -152 \cdot 10 = -1520,\ 25.467 \cdot 10 = 254.67$

So, in your case, you have to add a 0 at the end of 6000, obtaining

$6000 \cdot 10 = 60000$

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Solve for x: 3x-a/x+2a=2a/3 __a ≠ 4.5

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