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Representation of Solutions on a Number Line

Solve: 3x-24...

Question

Solve:
$\frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x$

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Solution

Given $\frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x$
$⟹ \frac{9 x - 6 - 6 x - 9}{12} = \frac{2 - 3 x}{3}$
$⟹ 3 x - 15 = 8 - 12 x ⟹ 15 x = 23 ⟹ x = \frac{23}{15}$

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2 + \frac{2 x - 3}{2 x + 3} = \frac{3 x + 4}{x + 2}

Q. Solve the equations:

\frac{3 x^{4} + x^{2} - 2 x - 3}{3 x^{4} - x^{2} + 2 x + 3} = \frac{5 x^{4} + 2 x^{2} - 7 x + 3}{5 x^{4} - 2 x^{2} + 7 x - 3}

Q. Solve for x :

2 + \frac{2 x - 3}{2 x + 3} = \frac{3 x + 4}{x + 2}

lim x \to - 2 \frac{x^{4} + 2 x^{3} + 3 x^{2} + 5 x - 2}{x^{5} + 3 x^{4} + 2 x^{3} + 3 x^{2} + 7 x + 2}

{3 x}^{2} - 4 > x (2 x - 3)

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