Question

solve the equation : x/-5= 3/10​

Answer 1

x=3/10*5
x=15/10 or 3/2

Answer 2

☯GIVEN :

• $\bf{ \dfrac{x}{ - 5} = \dfrac{3}{10}}$

☯TO FIND :

• The value of x.

➲SOLUTION :

$\implies{\sf{ \dfrac{x}{ - 5} = \dfrac{3}{10}}}$

• By cross multiplication :

$\implies{\sf{x \times 10 = - 5 \times 3}}$

$\implies{\sf{10 x= - 1 5 }}$

• Dividing both sides by 10 :

$\implies{\sf{ x= \dfrac {- 15}{10} }}$

• Dividing both numerator and denominator by 5 :

$\implies{\sf{ x= \dfrac {- \cancel{15}}{ \cancel{10}} }}$

$\implies{ \underline {\boxed{ \red{\bf{ x= \dfrac { - 3}{2} }}}}}$

$\huge {\green{\therefore}}$ The value of x is $\bf { \dfrac { - 3}{2}}$ .

✞VERIFICATION :

• Substituting the value of x :

$\implies{\sf{ \dfrac{x}{ - 5} = \dfrac{3}{10}}}$

$\implies{\sf{ \dfrac{\dfrac{-3}{2}}{-5} = \dfrac{3}{10}}}$

$\implies{\sf{\dfrac{-3}{2} \div -5= \dfrac{3}{10}}}$

$\implies{\sf{\dfrac{-3}{2} \times \dfrac{1}{ - 5} = \dfrac{3}{10}}}$

$\implies{\sf{\dfrac{3}{10} = \dfrac{3}{10}}}$

$\implies{\underline {\boxed{\bf{\red{LHS = RHS}}}}}$

$\huge {\green{\therefore}}$ Verified.