2 Resolva as equações
a) $\frac{3 x}{4}-\frac{2 x}{3}=\frac{1}{2}$

Answer

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Answer

$\boxed{x = 6}$

Steps

Step 1 ：Find a common denominator for the fractions: $\text{lcm}(4, 3) = 12$

Step 2 ：Multiply each term by the common denominator: $12\left(\frac{3x}{4} - \frac{2x}{3}\right) = 12\left(\frac{1}{2}\right)$

Step 3 ：Simplify the equation: $9x - 8x = 6$

Step 4 ：Solve for x: $x = 6$

Step 5 ：$\boxed{x = 6}$