High School

Write the equation in one variable for the statement:

"The sum of a number and 7 is 15."

Let the number be [tex]\( x \)[/tex].

The equation is:

[tex]\[ x + 7 = 15 \][/tex]

Answer :

To solve the problem "The sum of a number and 7 is 15," let's break it down step by step:

1. Start by letting the unknown number be represented by a variable, such as [tex]\( x \)[/tex].

2. Based on the problem statement, we can express the relationship using an equation:
[tex]\[ x + 7 = 15 \][/tex]

3. Now, we need to solve for [tex]\( x \)[/tex]. To do this, find the value of [tex]\( x \)[/tex] that makes the equation true.

4. To isolate [tex]\( x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[ x + 7 - 7 = 15 - 7 \][/tex]

5. Simplifying both sides gives:
[tex]\[ x = 8 \][/tex]

So, the number we are looking for is 8. Therefore, the solution to the equation is [tex]\( x = 8 \)[/tex].