Question

If you multiply a value x by -2 and the product is -14, what sign is the value of x? Explain.

Answer 1

The sign of the value of x is positive.

The equation is $\frac{y}{3} = -6$ where $y = -18.$

Step-by-step explanation:

Step 1:

If two positive or negative values are multiplied the resulting number would be positive. Whereas, if two values with different symbols are multiplied, the resulting value will be negative.

$(x) (-2) = -14, x = \frac{-14}{-2} = 7.$

If -2 is multiplied with x and the resulting value is -14, the value of x is positive. the value of x is 7.

Step 2:

Assume the amount is y. If y is divided into three equal groups, there would be three groups of 6.

So $\frac{y}{3} = -6, y = (-6)(3) = -18.$

So there were -18 units to start with which was divided into 3 groups of -6 each.