Question

6) 4/9x+14 = 1/6x+9.​

Answer 1

Ответ:

$x=-50.4$

Пошаговое объяснение:

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Answer 2

Ответ: -50,4

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Answer 3

To solve for the value of x in the equation $\frac{4}{9}x + 14 = \frac{1}{6}x + 9$, follow these steps:

Step 1: Subtract $\frac{1}{6}x$ from both sides of the equation to isolate the terms involving $x$ on one side: $\frac{4}{9}x + 14 - \frac{1}{6}x = 9$

Step 2: To combine the fractions with different denominators, find a common denominator. The common denominator for 9 and 6 is 18. Rewrite the fractions with the common denominator and simplify: $\frac{8}{18}x + 14 = 9$

Step 3: Now, subtract 14 from both sides of the equation: $\frac{8}{18}x = 9 - 14$ $\frac{8}{18}x = -5$

Step 4: Multiply both sides of the equation by the reciprocal of $\frac{8}{18}$, which is $\frac{18}{8}$ (or $\frac{9}{4}$): $x = -5 \cdot \frac{9}{4}$ $x = -\frac{45}{4}$

So, the solution for the equation $\frac{4}{9}x + 14 = \frac{1}{6}x + 9$ is $x = -\frac{45}{4}$.