Question

solve the following questions​

Answer 1

Answer:

X in (-oo:+oo)

X+11/4 = 13/2 // - 13/2

X+11/4-(13/2) = 0

X+11/4-13/2 = 0

X-15/4 = 0 // + 15/4

X = 15/4

X = 15/4

Answer 2

i) Solution

$\tt : \implies \: x + \dfrac{11}{4} = \dfrac{13}{2}$

$\tt : \implies \: \dfrac{4x + 11}{4} = \dfrac{13}{2}$

$\tt : \implies \: 4x + 11 = \dfrac{13}{2} \times 4$

$\tt : \implies \: 4x + 11 = 13 \times 2$

$\tt: \implies \: 4x + 11 = 26$

$\tt : \implies \: 4x = 26 - 11 \implies \: 4x = 15$

$: \tt \implies \: x = \dfrac{15}{4}$

ii) Solution

$: \tt \implies10x + 7 = 3x - 28$

$\tt : \implies \: 10x - 3x = - 28 - 7$

$\tt: \implies \: 7x = - 35$

$\tt : \implies \: x = 5$

iii) Solution

$: \implies \tt \: x + 7 - \dfrac{8x}{3} = \dfrac{17}{6} - \dfrac{5x}{2}$

$\tt :\implies \: \dfrac{3(x + 7) - 8x}{3} = \dfrac{17 - 5x \times 3}{6}$

$\tt :\implies \: 3x + 21 - 8x = \dfrac{17 - 15x}{6} \times 3$

$\tt : \implies \: 21 - 5x = \dfrac{17 - 15x}{2}$

$\tt : \implies \: 2(21 - 5x) = 17 - 15x$

$\tt : \implies \: 42 - 10x = 17 - 15x$

$\tt: \implies \: 42 - 17 = - 15x + 10x$

$\tt : \implies \: 25 = - 5x \implies \: x = - \dfrac{25}{5}$

$\tt : \implies x = - 5$

iv)Solution

$\tt : \implies \: \dfrac{6x + 1}{3} + 3 = \dfrac{x - 3}{6}$

$\tt : \implies \dfrac{6x + 1 + 3 \times 3}{3} = \dfrac{x - 3}{6}$

$\tt : \implies \: 6x + 1 + 9 = \dfrac{x - 3}{6} \times 3$

$\tt : \implies \: 6x + 10 = \dfrac{x - 3}{2}$

$\tt : \implies \: 2(6x + 10) = x - 3$

$\tt : \implies \: 12x + 20 = x - 3$

$\tt : \implies \: 12x - x = - 3 - 20 \implies \: 11x = - 23$

$\sf : \implies \: x = \dfrac{ - 23}{11}$