Question

When solving negative one over three (x − 15) = −4, what is the correct sequence of operations?When solving negative one over three (x − 15) = −4, what is the correct sequence of operations?

Multiply each side by negative one over three , subtract 15 from each side
Multiply each side by −3, add 15 to each side
Multiply each side by negative one over three , add 15 to each side
Multiply each side by 3, subtract 15 from each side

Answer 1

GIVEN :

When solving negative one over three (x-15)=-4, what is the correct sequence of operations

a) Multiply eachside by negative one over three, subtract 15 from eachside

b) Multiply eachside by -3, add 15 to eachside.

c) Multiply eachside by negative one over three, add 15 to eachside

d) Multiply eachside by 3, subtract 15 from eachside.

TO FIND :

The correct sequence of operations

SOLUTION :

Given that negative one over three (x - 15) = -4

It can be written as $-\frac{1}{3}(x-15)=-4$

Solving the above expression as below :

$-\frac{1}{3}(x-15)=-4$

Multiply each side by -3 we get,

$-\frac{1}{3}(x-15)\times (-3)=-4\times (-3)$

(x-15) = 12

Add 15 to each side we have that,

x-15+15 = 12+15

x = 27

Option b)  Multiply eachside by -3, add 15 to eachside  is correct.

The correct sequence is Multiply eachside by −3, add 15 to eachside.

Answer 2

Answer:

B

Step-by-step explanation: