Question

Rational Equation

Answer 1

\[\frac{ 11 }{ 8x }-\frac{ 1 }{ x+3 }=\frac{ 3 }{ 4x }\]

Answer 2

first find a common denominator

Answer 3

Okay, but what about the x+3?

Answer 4

he means to find a common denominator for the left hand side, then you will multiply by that denominator on both sides, then solve for x

Answer 5

your denominators are 8x, x+3 and 4x

Answer 6

4x is a factor of 8x so the common denominator will be 8x*(x+3)

Answer 7

multiply each term by the common denominator.
because the denominator will be the same you can equate the numerators.
simplify and solve.

Answer 8

Here's s a simple example\[\frac{ a}{ b }+\frac{c}{d}=\frac{d}{d}*\frac{a}{b}+\frac{b}{b}*\frac{c}{d}= \frac{ad}{bd}+\frac{cb}{bd}=\frac{ad+cb}{bd}\]

Now let a= 11, b = 8x, c= 1, d= x+3. Combine like terms when you're done.

Answer 9

Sorry, I had to go, but okay. @triciaal

Answer 10

11(x+3)-8x-6(x+3) =0
x=5