Question

solve the following equation and check your results
1.2x-5/5x+2= 3/22​

Answer 1

Given equation

$\sf \dfrac{2x-5}{5x+2} =\dfrac{3}{22}$

Solving, we get,

$\implies \sf \dfrac{2x-5}{5x+2} =\dfrac{3}{22}$

$\implies \sf 22(2x-5)=3(5x+2)$

$\implies \sf 44x-110=15x+6$

$\implies \sf 44x-15x=6+110$

$\implies \sf 29x=116$

$\implies \sf x = \dfrac{116}{29}$

$\implies\sf x=4$

$\boxed{\boxed{\bold{Therefore, \ the \ value \ of \ x \ is \ 4}}}}}}}}}}}$

Substituting, x = 4 in the LHS side we get,

$\implies \sf \dfrac{2(4)-5}{5(4)+2}$

$\implies \sf \dfrac{8-5}{20+2}$

$\implies \sf \dfrac{3}{22}$

= RHS

                                                         

Answer 2

Step-by-step explanation:

by cross multiplication

22(2x-5)=3(5x+2)

44x-110=15x+6

44x-15x=110+6

29x=116

x=116/29

x=4

cheking answer

LHS =RHS

solving LHS

2(4)-5/5(4)+2

8-5/20+2

3/22

RHS =3/22

since LHS =3/22=RHS=3/22

hence verified