How do you solve $\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }$ ?

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How do you solve $\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }$ ?

2 Answers

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Answer 1 · 2017-05-21T19:12:44

$x=3/2$

$3$ is the numerator and $2$ is the denominator.

Explanation:

Let's solve your equation step-by-step.

Multiply all terms to get $(x+6)(x-6)$ as the denominators and cancel:

$7(x−6)+5(x+6)=6$

$12x−12=6" "$ (Simplify both sides of the equation)

$12x−12+12=6+12" "$ (Add $12$ to both sides)

$12x=18$

$(12x)/12=18/12" "$ (Divide both sides by $12$ )

$x=3/2$

Check the answer. (Plug it in to make sure it works)

$x=3/2" "$ (Works in original equation)

Answer:

$x=3/2$

( $3$ is the numerator and $2$ is the denominator)

Answer 2 · 2017-05-21T19:16:46

$x=3/2$

Explanation:

First, rule out the solutions $x=6$ and $x=-6$ since they will result in indeterminate forms (dividing by 0).

Now, multiply both sides by $(x+6)(x-6)$

$7(x-6)+5(x+6)=6 " "x !in{-6,6}$

From here, distribute and solve normally, keeping in mind the extraneous solutions -6 and 6.

$7x-42+5x+30=6 color(white)"XXXXX" x!in{-6,6}$
$color(white)"XXX/XX"12x-12=6 color(white)"XXXXX"x!in{-6,6}$
$color(white)"XXXXXXXX.." 12x=18 color(white)"XXXX."x!in{-6,6}$
$color(white)"XXXXXXXXXX" x=3/2$

Final Answer

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How do you solve $\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }$ ?

2 Answers

Explanation:

Explanation:

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Science

Math

Humanities

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How do you solve \frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }?

2 Answers

Explanation:

Explanation:

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How do you solve $\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }$ ?