Question

5/2 x= -2
x is a variable.
Find what is value of x.​​

Answer 1

Step-by-step explanation:

=> $\frac{5}{2}$ x = -2

=> x = $\frac{-2}{ \frac{5}{2} }$

=> x = -2 × $\frac{2}{5}$

=> x = $\frac{-4}{5}$

Proof :-

• $\frac{5}{2}$ × $\frac{-4}{5}$

Cancel "5"

• $\frac{-4}{2}$

• -2

Therefore, LHS = RHS

Answer 2

$\huge{|\underline{\mathtt{\red{Q}\blue{U}\orange{E}\pink{S}\blue{T}\purple{I}\green{O}\red{N}\blue{:}\orange{-}}}}$

$\frac{5}{2} \times x = - 2$

$\large\underbrace \mathfrak \purple{❥︎Solution: }$

➪ Multiply both the sides of equation by

$\frac{2}{5}$

$\frac{2}{5} \times \frac{5}{2} x = \frac{2}{5 } \times ( - 2)$

➪ Reduce the number with the greatest common factor 2

$\frac{1}{5} \times 5x = \frac{2}{5} \times ( - 2)$

➪ Reduce the numbers with 5

$x = \frac{2}{5} \times ( - 2)$

➪Multiplying a positive and a negative equals a negative: (+)×(-)=(-)

$x = \frac{ - 4}{5}$