Question

please solve the equations​

Answer 1

Question -

• $\sf{\dfrac{2a}{3} - 5 = 3}$

Solution - :

⟹ $\sf{\dfrac{2a}{3} - 5 = 3}$

❒ Shift 5 to the other side. While shifting its sign will get changed.

: ⟹ $\sf{\dfrac{2a}{3} = 3 + 5}$: ⟹ $\sf{\dfrac{2a}{3} = 8}$

❒ Now cross multiply. The neumerator the fraction (2a/3) will become the denominator on shifting and the denominator will become the neumerator.

: ⟹ $\sf{a = \dfrac{8 \times 3}{2}}$

: ⟹ $\sf{a = \dfrac{\not{8} \times 3}{\not{2}}}$

: ⟹ $\sf{a = 4 \times 3}$

: ⟹ $\sf{a = 12}$

$\large{\underline{\boxed{\sf{a = 12}}}}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Signs are changed on the following bases -

• (-) (-) = +
• (+) (+) = +
• (-) (+) = -
• (+) (-) = -

Answer 2

GIVEN :

• $\large\red {\sf \dfrac {2a}{3} \: - \: 5 \: = \: 3}$

SOLUTION :

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

$\implies \sf \dfrac {2a}{3} \: = \: 3 \: + \: 5$

$\implies \sf \dfrac {2a}{3} \: = \: 8$

Now,

$\implies \sf a \: = \: \dfrac {8 \times 3}{2}$

$\implies \sf a \: = \: 4 \times 3$

$\large\blue {\boxed {\sf a \: = \: 12}}$

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