Question

Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

Answer 1

B. The equation that represents this situation is 10 + x = -18. The second number is -28.

Step-by-step explanation:

A sum is a number that is calculated by adding together a set of other numbers. The sum of our equation is -18, which means that we will place this number on the right side of the equal sign.

We also know that one of the components of this sum is 10, so that would go on the left.

What we want to find out is what the other part of the sum is. We don't know this yet, but we can't just write the equation as 10 = -18, so we'll put an x in place of our hidden value.

`10 + x = - 18`

We already have one part of our answer, so now we need to find the value of x. First, we need to get the x by itself, so we'll subtract 10 from each side of the equation.

`10 + x = - 18 \\ - 10 \: \: \: \: \: \: \: \: \: \: \: \: - 10 \\ x = - 18 - 10`

Now we just need to add -18 and -10 together, which would give us -28.

`x = - 18 - 10 \\ x = - 28`