Question

solve the equation check the solution

Answer 1

\[\frac{ -2 }{ x+4 }= \frac{ 4 }{ x+3}\]

A.\[-\frac{ 13 }{ 6 }\]
B. \[-11\]
C. \[-\frac{ 8 }{ 3}\]
D. \[-\frac{ 11 }{ 3 }\]

Answer 2

\[\large -2(x+3)=4(x+4)\] is the first step

Answer 3

this is a proportion...
-2 / (x + 4) = 4/ (x + 3)
cross multiply
4(x + 4) = -2(x + 3) -- distribute through the parenthesis
4x + 16 = -2x - 6 -- subtract 16 from both sides
4x = -2x - 16 - 6 -- add 2x to both sides
4x + 2x = -16 - 6
6x = - 22
x = -22/6 reduces to - 11/3

check...
-2/(-11/3 + 4) = 4/(-11/3 + 3)
-2/(-11/3 + 12/3) = 4/(-11/3 + 9/3)
-2/(1/3) = 4/(-2/3)
-2 * 3/1 = 4 * -3/2
-6 = - 12/2
-6 = -6 (correct)

answer is -11/3

Answer 4

do you have any questions at all ?

Answer 5

thank you :) and yes i do i was wondering how you would do this
simplify the sum state any restrictions on the variable
\[\frac{ x-2 }{ x+3 }+ \frac{ 10x }{ x^2-9 }\]

Answer 6

I am sorry...I am not sure about this one

Answer 7

its okay