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

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

for example:

`(1)/(2) x + 3 = (2)/(3) x - 1 \\ lcd \: eliminate = 2 * 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

Answer 2

The answer id D

Explanation: