Question

Solve for x algebraically; (2/3x)+(4/x)=(7/(x+1))

Answer 1

`(2)/(3x) + (4)/(x) = (7)/(x+1)`


`(2)/(3x) + (12)/(3x) = (7)/(x+1)`


`(14)/(3x) = (7)/(x+1)`


`Cross\ multiply :`


`14(x+1) = 7 * 3x`


`14x+14 = 21x`


`14x-21x =-14`


`-7x =-14`


`x = (-14)/(-7)`


`\boxed{x=2}`

Answer 2

`(2)/(3x) + (4)/(x) = (7)/(x+1) \\ \\x\\eq 0 \ \ and \ \x+1\\eq 0 \\ \\x\\eq 0 \ \ and \ \x \\eq -1`


`(2 )/(3x)+(4)/(x) = (7)/(x+1) \\\\\ (2+12)/(3x) = (7)/(x+1) \\ \\(14)/(3x) = (7)/(x+1)\\ \\14(x+1)=3x\cdot 7`


`14 x+14=21x \\ \\14=21x-14x \\ \\ 7x=14 \ \ /: 7 \\ \\x=2`