Question

(4/9)x-14=(8/9x)-18​

Answer 1

$\frac{4}{9}x - 14 = \frac{8}{9}x - 18 \\ \frac{4}{9}x - \frac{8}{9}x = - 18 + 14 \\ - \frac{4}{9} x = - 4 \\ x = - 4 \times( - \frac{9}{4} ) \\ x = 9$

Answer 2

Ответ в приложении

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Answer 3

To solve the equation, we'll first eliminate the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 9. The LCM of 9 is 9 itself.

Step 1: Multiply both sides of the equation by 9 to eliminate the fractions:

9 * ((4/9)x - 14) = 9 * ((8/9)x - 18)

Step 2: Distribute the multiplication on both sides:

4x - 126 = 8x - 162

Step 3: Move the variable terms to one side and the constant terms to the other side:

4x - 8x = -162 + 126

Step 4: Combine like terms:

-4x = -36

Step 5: Divide both sides by -4 to solve for x:

x = -36 / -4

Step 6: Simplify the expression:

x = 9

So the solution to the equation is x = 9. You can verify this by substituting x with 9 in the original equation to see if it holds true.