Question

6x+5/2x+4=2/3. With p
verification ​

Answer 1

ANSWER :

• Value of x is 23/14

GIVEN :

$\implies \dfrac{6x - 5}{2x + 4} = \dfrac{2}{3}$

TO FIND :

• Value of x.

SOLUTION :

$\implies \dfrac{6x - 5}{2x + 4} = \dfrac{2}{3} \\ \: \implies \: 3(6x - 5) = 2(2x + 4) \\ \implies \: 18x - 15 = 4x + 8 \\ \implies \: 14x = 23 \\ \implies \: x \: = \dfrac{23}{14}$

Proof:

$lhs \: \\ = \dfrac{6( \dfrac{23}{14}) - 5 }{2( \dfrac{23}{14} ) + 4} \\ \\ = \frac{ \dfrac{69}{7} - 5 }{ \dfrac{23}{7} + 4} \\ \\ = \dfrac{ \dfrac{34}{7} }{ \dfrac{51}{7} } \\ \\ = \dfrac{2}{3}$

LHS = RHS

HENCE PROVED!