High School

Write the equation in one variable for the statement: "The sum of a number and 7 is 15."

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

Answer :

To solve the problem of finding a number based on the statement "The sum of a number and 7 is 15," we can break it down into simple steps:

1. Define the Variable:
- Let's use a variable, say [tex]\( x \)[/tex], to represent the unknown number we need to find.

2. Set Up the Equation:
- According to the statement, "The sum of a number and 7 is 15," we can write the equation as:
[tex]\[
x + 7 = 15
\][/tex]

3. Solve the Equation:
- To find the value of [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by subtracting 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = 15 - 7
\][/tex]

4. Simplify:
- This simplifies to:
[tex]\[
x = 8
\][/tex]

So the number we are looking for is 8.