Question

15(a-4) -2( a – 9 ) + 5 (a + 6 ) +3 =  3, value of 'a' in the given equation is ​

Answer 1

Answer:

Given

$15(a - 4) - 2(a - 9) + 5(a + 6) + 3 = 3$

To find

• Value of a

Solution

$15(a - 4) - 2(a - 9) + 5(a + 6) + 3 = 3 \\ 15a - 60 - 2a + 18 + 5a + 30 + 3 = 3 \\ 15a - 2a + 5a - 60 + 18 + 30 + 3 = 3 \\ 20a - 2a - 60 + 51 = 3 \\ 18a - 9 = 3 \\ 18a = 3 + 9 \\ 18a = 12 \\ a = \frac{12}{18} \\ a = \frac{2}{3}$

So, the value of a is

$\frac{2}{3}$

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto15(a - 4) - 2(a - 9) + 5(a + 6) + 3 = 3$

$\sf \longmapsto15a - 60 - 2a + 18 + 5a + 30 + 3 = 3$

=>Taking like terms together :

$\sf \longmapsto15a - 2a + 5a - 60 + 18 + 30 + 3 = 3$

$\sf \longmapsto18a - 42 + 33 = 3$

$\sf \longmapsto18a - 9 = 3$

$\sf \longmapsto \: a = \dfrac{12}{18} = \dfrac{2}{3}$

$\sf \bold{ \red{a = \dfrac{2}{3} }}$

Check

$\sf\large \longmapsto15( \frac{2}{3} - 4) - 2( \frac{2}{3} - 9) + 5( \frac{2}{3} + 6) +$

$\sf \large\longmapsto15( \frac{2 - 12}{3} ) - 2( \frac{2 - 27}{3}) + 5( \frac{2 + 18}{3} ) + 3$

$\sf \large\longmapsto15( - \frac{10}{3} ) - 2( - \frac{25}{3} ) + 5( \frac{20}{3} ) + 3$

$\sf\large \longmapsto - \frac{150}{3} + \frac{50}{3} + \frac{100}{3} + 3$

$\sf\large \longmapsto \frac{ - 150 + 50 + 100 + 9}{3} = \frac{ - 150 + 150 + 9}{3} = \frac{9}{3} = 3$