Question

solve the following equations and check your answer also​

Answer 1

Question :-

Solve the following equations and check your answer also -

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

Answer :-

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

⟹ $\sf \frac{x}{3} - \frac{x}{6} = 5 - 2$

⟹ $\sf \frac{2x}{6} - \frac{x}{6} = 3$

⟹ $\sf \frac{x}{6} = 3$

⟹ $\sf x = 6 \times 3$

⟹ $\sf x = 18$

Verification :-

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

$\sf = \frac{18}{6} + 5$

$\sf 3 + 5$

• $\sf LHS = 8$

$\sf RHS = \frac{x}{3} + 2$

$\sf \frac{18}{6} + 5$

$\sf 3 + 5$

• $\sf RHS = 8$

$\sf 8 = 8$

• $\sf LHS = RHS$

Hence verified

Answer 2

x/6 +5= x/3+2

x/3 - x/6=5-2

2x/6 - x/6=3

x/6 = 3

x=6X3

x=18