Question

(1) Solve the equation: X/5 + 4/5 = X/3 - 2/3​

Answer 1

Answer:

$\rm{ \dfrac{x}{5} + \dfrac{4}{5} = \dfrac{x}{3} - \dfrac{2}{3} }$

$\rm \dfrac{x + 4}{5} = \dfrac{x - 2}{3}$

$\rm3 \times (x + 4) = 5 \times (x - 2) \bf \red{cross \: multiplication}$

$\rm3x + 12 = 5x - 10$

$\rm3x - 5x = - 10 - 12$

$\rm \not- 2x = \not- 22$

$\rm{x = \dfrac{22}{2} }$

$\huge \blue{ \underline{ \fbox{x = 11}}}$

_________________

Therefore,

• The required equation is:

[3x + 12 = 5x - 10 ]

• The value of [x = 11]