Question

solve the following equations x+3/x+1=7/6​

Answer 1

EXPLANATION.

Equation : [(x + 3)/(x + 1)] = 7/6.

As we know that,

We can write equation as,

⇒ 6(x + 3) = 7(x + 1).

⇒ 6x + 18 = 7x + 7.

⇒ 18 - 7 = 7x - 6x.

⇒ 11 = x.

⇒ x = 11.

Answer 2

Answer:

11

Step-by-step explanation:

$\frac{x + 3}{x + 1} = \frac{7}{6}$

apply fraction cross mutiply; if

$\frac{ a}{b} = \frac{c}{d}$

then a• d = b•c

$6x + 18 = 7 x + 7$

subtract 18 from both sides

$6x + 18 - 18 = 7x + 7 - 18$

simplify

$6x = 7x - 11$

subtract 7x from both sides

$6x - 7x = 7x - 11 - 7x$

simplify

$- x = - 11$

Divide both sides by -1

$\frac{ - x}{ - 1} = \frac{ - 11}{ - 1}$

simply

$x = 11$