Question

solve the problem and check the solution 3x - 5 / 5 = 2x / 5 + 2​

Answer 1

Question:-

solve the problem and check the solution 3x - 5 / 5 = 2x / 5 + 2

Answer:-

• The value of x is 15.

To find:-

• value of x

Solution:-

According to question,

$\large{ \tt : \implies \: \: \: \: \: \frac{3x - 5}{5} = \frac{2x}{5} + 2}$

$\large{ \tt : \implies \: \: \: \: \: \frac{3x - 5}{5} = \frac{2x + 10}{5} }$

$\large{ \tt : \implies \: \: \: \: \: 3x - 5 = 2x + 10}$

$\large{ \tt : \implies \: \: \: \: \: 3x - 2x = 10 + 5}$

$\large{ \tt : \implies \: \: \: \: \: x = 15}$

• The value of x is 15.

Verification :-

$\large{ \tt : \implies \: \: \: \: \: \frac{3(15) - 5}{5} = \frac{2(15)}{5} + 2}$

$\large{ \tt : \implies \: \: \: \: \: \frac{45 - 5}{5} = \frac{30 + 10}{5} }$

$\large{ \tt : \implies \: \: \: \: \: \frac{40}{5} = \frac{40}{5} }$

$\large{ \tt : \implies \: \: \: \: \: 8 = 8}$

HENCE VERIFIED!!

Answer 2

Given

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

⠀

Solution

• Before solving this question, we have understand the situation.
• In such a case, we have to solve both the side i.e., L.H.S and R.H.S.
• After this we will calculate the value of x.

⠀

Let's do it !!

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\bigg\lgroup{\dfrac{3x - 5}{5}\bigg\rgroup} = \bigg\lgroup{\dfrac{2x + 10}{5}\bigg\rgroup}}$

⠀

★ Since denominator of both the sides are equal.

$\tt:\implies\: \: \: \: \: \: \: \: {\bigg\lgroup{\dfrac{3x - 5}{\cancel{5}}\bigg\rgroup} = \bigg\lgroup{\dfrac{2x + 10}{\cancel{5}}\bigg\rgroup}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {3x - 5 = 2x + 10}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {3x - 2x = 10 + 5}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {x = 15}$

⠀

Hence,

• The value of x is 15.

⠀

$\huge\underline{\bf{Verification}}$

⠀

Putting the value of x.

$\tt\longmapsto{\bigg\lgroup{\dfrac{3(15) - 5}{5}\bigg\rgroup} = \bigg\lgroup{\dfrac{2(15) + 10}{5}\bigg\rgroup}}$

⠀

$\tt\longmapsto{\bigg\lgroup{\dfrac{45 - 5}{5}\bigg\rgroup} = \bigg\lgroup{\dfrac{30 + 10}{5}\bigg\rgroup}}$

⠀

$\tt\longmapsto{\bigg\lgroup{\dfrac{40}{5}\bigg\rgroup} = \bigg\lgroup{\dfrac{40}{5}\bigg\rgroup}}$

⠀

$\tt\longmapsto{8 = 8}$

⠀

$\bf\longmapsto{L.H.S = R.H.S}$

⠀

Hence Verified !!

━━━━━━━━━━━━━━━━━━━━━━