Question

what value of x makes 2/3x = -9 a true sentence?​

Answer 1

Step-by-step explanation:

Question :

What value of x makes $\sf\dfrac{2x}{3} = -9$ a true sentence?

Solution :

Given equation,

$\displaystyle \sf \longrightarrow \: \frac{2x}{3} = 9$

$\displaystyle \sf \longrightarrow \: x = 9 \times \frac{3}{2}$

$\displaystyle \sf \longrightarrow \: x = \frac{9 \times 3}{2}$

$\displaystyle \bf \longrightarrow \boxed{ \bf \: x = \frac{27}{2} } \: \bigstar$

Hence, value of x is 27/2.

Verification :

$\displaystyle \sf \longrightarrow \: \frac{2x}{3} = 9$

Putting value of x,

$\displaystyle \sf \longrightarrow \: \frac{2}{3} \times \frac{27}{2} = 9$

$\displaystyle \sf \longrightarrow \: \frac{ \not2}{3} \times \frac{27}{ \not2} = 9$

$\displaystyle \sf \longrightarrow \: \frac{ \cancel{27}}{ \not 3} = 9$

$\displaystyle \bf \longrightarrow \: \underline{9 = 9}$

L.H.S. = R.H.S.

Hence, Verified.!!

Answer 2

Given :

• ${\sf{ \dfrac{2}{3}x = - 9 }}$

To Find :

• Value of x = ?

SolutioN :

$\dag$ Calculating the Value of x :

${\dashrightarrow{\qquad{\sf{ \dfrac{2}{3}x = - 9 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 2x = - 9 \times 3}}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ 2x = - 27 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ x = \dfrac{- 27}{2} }}}}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\dag$ Therefore :

❛❛ Value of x is $\sf{ \dfrac{- 27}{2} }$ . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$