Question

HURRY!!! Which expression is equivalent to (3x-6/7) ?
A) -15x-30/7
B) -15x-6/7
C) -15x+6/7
D) -15x+30/7

Answer 1

d.-15x+30/7

-5(3x-6/7)=-15x+30/7

Answer 2

The rational expression $\frac{3\cdot x-6}{7}$ is equivalent to $\frac{-15\cdot x + 30}{-35}$. (Correct choice: D)

How to find an equivalent rational expression

In this question we must find an equivalent rational expression by applying the following algebra property:

$\frac{a}{b} = \frac{a\cdot c}{b\cdot c}$, for $a, b, c \in \mathbb{Z}$, $b, c \ne 0$ (1)

Now we proceed to find the expression:

1. $\frac{3\cdot x-6}{7}$     Given
2. $\frac{(3\cdot x-6)\cdot (-5)}{7\cdot (-5)}$  $\frac{a}{b} = \frac{a\cdot c}{b\cdot c}$
3. $\frac{(3\cdot x) \cdot (-5)+(-6)\cdot (-5)}{-35}$     Distributive property/$a\cdot (-b) = -a\cdot b$
4. $\frac{-15\cdot x + 30}{-35}$     Result

The rational expression $\frac{3\cdot x-6}{7}$ is equivalent to $\frac{-15\cdot x + 30}{-35}$. (Correct choice: D)

Remark

The statement present mistakes, correct form is shown below:

Which expression is equivalent to $\frac{3\cdot x - 6}{7}$?

a) $\frac{-15\cdot x-30}{-35}$

b) $\frac{-15\cdot x - 6}{-35}$

c) $\frac{-15\cdot x+6}{-35}$

d) $\frac{-15\cdot x+30}{-35}$

To learn more on rational expressions, we kindly invite to check this verified question: https://brainly.com/question/15324782