Question

Which equation represents this statement?

3 is the same as the sum of times a number and -3
03=+(-3x)
0
3+(-x) = -3
○ 3 = -x +(-3)
3+ (-¹) = -3x
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Answer 1

The equation representing the statement '3 is the same as the sum of a number times -3' is 3 = -3x. This equation follows the rule that the product of numbers with opposite signs is negative.

Step-by-step explanation:

The correct equation that represents the statement '3 is the same as the sum of a number times -3' can be written as 3 = x * (-3), which can be simplified to 3 = -3x.

According to the multiplication rules for signs, when two numbers multiplied have opposite signs, the answer has a negative sign.

For instance, if x is a positive number, then multiplying it by -3 will result in a negative product. Conversely, if x is negative, the product of x and -3 will be positive.

Therefore, based on the given statement, the equation 3 = -3x correctly represents the relationship where 3 is set to be equal to the product of some number x and -3.