Question

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solve each of the following equation and also check your result in each case ​

Answer 1

Answer:

10)

$\frac{m - 6}{4} - \frac{m - 4}{6} = 1 - \frac{m}{10}$

$\frac{6(m - 6) - 4(m - 4)}{24} = \frac{10 - m}{10}$

$\frac{6m - 36 - 4m + 16}{24} = \frac{10 - m}{10}$

$\frac{6m - 4m - 36 + 16}{24} = \frac{10 - m}{10}$

$\frac{2m - 20}{24} = \frac{10 - m}{10}$

$cross \: multiply$

$10(2m - 20) = 24(10 - m)$

$20m - 200 = 240 - 24m$

$20m + 24m = 240 + 200$

$44m = 440$

$m = \frac{440}{44}$

$m = 10$

11)

$- 2a - \frac{3a - 4}{7} = \frac{4a - 27}{3} - 3$

$\frac{ - 14a - 3a - 4}{7} = \frac{4a - 27 - 9}{3}$

$\frac{ - 17a - 4}{7} = \frac{4a - 36}{3}$

$cross \: multiply$

$7(4a - 36) = 3( - 17a - 4)$

$28a - 252 = ( - 51a) - 12$

$28a + 51a = ( - 12) + 252$

$79a = 240$

$a = \frac{240}{79}$

12)

$\frac{3}{4} (7x - 1) - 2x - \frac{1 - x}{2} = x + \frac{3}{2}$

$\frac{21x - 3}{4} - \frac{4x - 1 - x}{2} = \frac{2x + 3}{2}$

$\frac{2(21x - 3) - 4(3x - 1)}{8} = \frac{2x + 3}{2}$

$\frac{42x - 6 - 12x + 4}{8} = \frac{2x + 3}{2}$

$\frac{42x - 12x - 6 + 4}{8} = \frac{2x + 3}{2}$

$\frac{30x - 2}{8} = \frac{2x + 3}{2}$

$cross \: multiply$

$2(30x - 2) = 8(2x + 3)$

$60x - 4 = 16x + 24$

$60x - 16x = 24 + 4$

$44x = 28$

$x = \frac{28}{44}$

$x = \frac{7}{11}$

Answer 2

Step-by-step explanation:

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