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Svetlanka [38]
3 years ago
5

Solve for x: 3x-a/x+2a=2a/3 __a ≠ 4.5

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

\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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Answer:

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Step-by-step explanation:

4 0
3 years ago
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients
GuDViN [60]

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

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From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

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3 years ago
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