Question

solve the following equations? ​

Answer 1

Answer:

a) 10/12=5/6

first equations answer

Answer 2

Question 1:-

$\frac{x}{4} + \frac{x}{6} = \frac{x}{2} + \frac{3}{4}$

Or,

$\frac{3x + 2x}{12} = \frac{2x + 3}{4}$

Or,

$\frac{5x}{12} \times 4 = 2x + 3$

Or,

$\frac{5x}{3} = 2x + 3$

Or,

$5x = 3 \times (2x + 3)$

Or,

$5x = 6x + 9$

Or,

$6x - 5x = - 9$

Or,

$x = - 9$

Question 2:-

$\frac{2x}{3} = \frac{3x}{8} + \frac{7}{12}$

Or,

$\frac{2x}{3} = \frac{9x}{24} + \frac{14}{24}$

Or,

$\frac{2x}{3} = \frac{9x + 14}{24}$

Or,

$2x = \frac{9x + 14}{24} \times 3$

Or,

$2x = \frac{9x + 14}{8}$

Or,

$2x \times 8 = 9x + 14$

Or,

$16x = 9x + 14$

Or,

$7x = 14$

Or,

$x = \frac{14}{7}$

Or,

$x = 2$

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