To write an equation that meets all of the given criteria, follow these steps:
1. Express the desired solution: We are given that [tex]\( x = 5 \)[/tex].
2. Include required conditions:
- Use the numbers 3, 7, and 8.
- Include at least two different operations, such as addition, subtraction, multiplication, or division.
3. Construct the equation:
- Start by incorporating the number 3 as a coefficient of [tex]\( x \)[/tex]. For example, let’s multiply [tex]\( x \)[/tex] by 3 to get [tex]\( 3x \)[/tex].
- Next, consider another operation. We could subtract a number, say 7, from [tex]\( 3x \)[/tex]. So we have [tex]\( 3x - 7 \)[/tex].
- Now, we need to set this expression equal to 8, fitting in the number 8.
Let’s put it all together in the equation [tex]\( 3x - 7 = 8 \)[/tex].
4. Verify the solution:
- Substitute [tex]\( x = 5 \)[/tex] into the equation [tex]\( 3x - 7 = 8 \)[/tex].
- Calculate [tex]\( 3 \times 5 - 7 \)[/tex]:
[tex]\[
3 \times 5 = 15
\][/tex]
[tex]\[
15 - 7 = 8
\][/tex]
Indeed, [tex]\( 8 = 8 \)[/tex], which confirms that [tex]\( x = 5 \)[/tex] is the correct solution.
Thus, the equation that meets all the given criteria is:
[tex]\[
3x - 7 = 8 \quad \text{where} \quad x = 5
\][/tex]
