Question

Explain why multiplying both sides of a rational equation by the LCD eliminates all of the denominators. (please help it’s extra credit for a failing grade)

Answer 1

Answer:

The answer id D

Step-by-step explanation:

Answer 2

because all of the denominations are able to divide with it and generate integer numbers for it:

for example:

$\frac{1}{2} x + 3 = \frac{2}{3} x - 1 \\ lcd \: eliminate = 2 \times 3 = 6$

so when you multiply 6 to the both sides of this equation we have:

$3x + 18 = 2x - 6$

so you can find the solution:

x= -18-6=-24