Question

solve the equation and verify your answer 2 - 7 X upon 1 minus 5 x equals to 3 + 7 X upon 4 + 5 x​

Answer 1

The value of x is "$\frac{1}{2}$".

Step-by-step explanation:

The given equation,

$\frac{2 - 7x}{1 - 5x}$ = $\dfrac{3 + 7x}{4 + 5x}$   ....(1)

By cross-ultiplication,

(2 - 7x)(4 + 5x) = (3 + 7x)(1 -5x)

⇒ 8 + 10x - 28x -35$x^{2}$ = 3 - 15x + 7x  -35$x^{2}$

⇒ 8 - 18x = 3 - 8x

⇒ 10x = 8 -3 = 5

∴ x = $\frac{1}{2}$

The value of x is $\frac{1}{2}$.

Verification,

Put x = $\frac{1}{2}$ in equation (1), we get

$\frac{2 - 7([tex]\dfrac{1}{2}$)}{1 - 5($\dfrac{1}{2}$)}[/tex] = $\dfrac{3 + 7([tex]\dfrac{1}{2}$)}{4 + 5($\dfrac{1}{2}$)}[/tex]

⇒ $\dfrac{4 -7}{2 - 5}$ = $\dfrac{6 + 7}{8 + 5}$

⇒  1 = 1, it is verified.

Hnce, it is verified.

Answer 2

Answer:

1 is the answer I think. ...