Question

solve the following equations
4y+3/2=2/5​

Answer 1

Step-by-step explanation:

this is your right answer

Answer 2

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

$\sf \longmapsto 4y + \dfrac{3}{2} = \dfrac{2}{5}$

Lcm of 4y & 3/2 is 2 as 4y have 1 as denominator.

$\sf \longmapsto \dfrac{8y + 3}{2} = \dfrac{2}{5}$

Now,cross multiply to both side,5 will be multiplied with 8y+3 & 2 will be multiplied with 2

$\sf \longmapsto5(8y + 3) = 2 \times 2$

$\sf \longmapsto40y + 15 = 4$

$\sf \longmapsto40y = 4 - 15$

$\sf \longmapsto40y = - 11$

$\sf \longmapsto{ \bold{ \red{y = - \dfrac{11}{40} }}}$

Check

$\sf \longmapsto4y + \dfrac{3}{2} = \dfrac{2}{5}$

$\sf \longmapsto4 \times - \dfrac{11}{40} + \dfrac{3}{2}$

$\sf \longmapsto - \dfrac{11}{10} + \dfrac{3}{2}$

$\sf \longmapsto \dfrac{ - 11 + 15}{10} = \dfrac{4}{10} = \dfrac{2}{5}$