Question

Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x ?

Answer 1

\[\frac{ 3 }{ 3x }+\frac{ 1 }{ x+4 }=\frac{ 10 }{ 7x }\]

Answer 2

3/3 = 1

Answer 3

So then

Answer 4

\[\frac{ 3 }{ 3x } becomes x\]

Answer 5

1/x + 1/(x+4) = (10/7)*(x)

// multiply through by x

1 + x/(x+4) = 10/7

x/(x+4) = 10/7-1

x/(x+4) = 3/7

x = (3/7)(x+4)

x = (3/7)x + (12/7)

x-(3/7)x = 12/7

(4/7)x = 12/7

multiply both sides by 7/4

x = (12/7)*(7/4)

x = 12/4 = ?

Answer 6

so, x=3?

Answer 7

or should the sign be reversed, making x=-3?

Answer 8

x = 3

Answer 9

okay, thanks!