Question

solve this equation: 2x-4/8x+1=3/7​

Answer 1

Answer:

-3.1

Step-by-step explanation:

2x-4/8x+1=3/7

7(2x-4)=3(8x+1)

14x-28=24x+3

-28-3=24x-14x

-31=10x

-3.1=X

verification

(-2*3.1-4)/-8*3.1+1= -6.2-4/-24.8+1

=-10.2/-23.8=102/238= 3/7 ( divide by 34)

Answer 2

$\dfrac{2x\:-\:4}{8x\:+\:1}\:=\:\dfrac{3}{7}$

__________ [ GIVEN ]

• We have to find the value of x.

____________________________

→ $\dfrac{2x\:-\:4}{8x\:+\:1}\:=\:\dfrac{3}{7}$

Cross-multiply them

→ 7(2x - 4) = 3(8x + 1)

→ 14x - 28 = 24x + 3

→ 14x - 24x = 3 + 28

→ - 10x = 31

→ 10x = - 31

→ x = - 31/10

→ x = - 3.1

___________________________

$\huge{\bold{x\:=\:-\:3.1}}$

________ [ ANSWER ]

___________________________

✡ VERIFICATION :

From above calculations we have x = -3.1

Put value of x in this equation : $\dfrac{2x\:-\:4}{8x\:+\:1}\:=\:\dfrac{3}{7}$

=> $\dfrac{2(-3.1)\:-\:4}{8(-3.1)\:+\:1}\:=\:\dfrac{3}{7}$

=> $\dfrac{-\:6.2\:-\:4}{-\:24.8\:+\:1}\:=\:\dfrac{3}{7}$

=> $\dfrac{-\:10.2}{-\:23.8}\:=\:\dfrac{3}{7}$

=> $\dfrac{3}{7}\:=\:\dfrac{3}{7}$

_____________________________