Question

Solve x/3 + 5/2 = -3/2​

Answer 1

x/3 + 5/2 = -3/2

x/3= -3/2 - 5/2

x/3= -8/2

x= -4 × 3

x= -12

Answer 2

Answer:

Here:-

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

taking

L.C.M of 3 & 2

that is

L.C.M=6(3×2)

$\frac{x}{3} \times \frac{2}{2} = \frac{2x}{6} \\ \frac{5}{2} \times \frac{3}{3} = \frac{15}{6} \\ \frac{2x}{6} + \frac{15}{6} \\ \frac{2x + 15}{6}$

and now we've got the equation

$\frac{2x + 15}{6 } = \frac{ - 3}{2} \\ 2x + 15 = \frac{ - 3}{2} \times 6 \\ 2x + 15 = \frac{ - 18}{2} = - 9 \\ 2x = - 9 - 15 \\ 2x = - 24 \\ x = \frac{ - 24}{2} \\ x = - 12$

therefore the value of x=-12

Let's check whether it's correct or not

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

Taking L.C.M to prove

that is 6,as we already know

$\frac{ - 12}{3} \times \frac{2}{2} = \frac{ - 24}{6} \\ \frac{5}{2} \times \frac{3}{3} = \frac{15}{6} \\ \frac{ - 24}{6} + \frac{15}{6} = \frac{ - 3}{2} \\ \frac{ - 24 + 15} {6} = \frac{ - 3}{2} \\ \frac{ - 9}{6} = \frac{ - 3}{2}$

both divisible by 3

$\frac{ - 3}{2} = \frac{ - 3}{2}$

L.H.S=R.H.S

hence verified

hope it helps