To provide a more specific answer, I'll need an equation to work with. However, I can give you a general template for approaching this kind of problem.
-
Identifying a value that makes the equation true:
- Let's suppose we have an equation: \(2x + 3 = 11\).
- A value of \(x\) that makes the equation true is \(x = 4\).
- Substituting \(x = 4\) into the equation gives: \(2(4) + 3 = 11\) which simplifies to \(8 + 3 = 11\). Thus, \(11 = 11\).
-
Identifying a value that makes the equation false:
- Using the same equation \(2x + 3 = 11\), let's say \(x = 1\) is a value that makes the equation false.
- Substituting \(x = 1\) into the equation gives: \(2(1) + 3 = 11\) which simplifies to \(2 + 3 = 11\). Thus, \(5 = 11\) which is false.
So, filling in the blanks from the above example:
A value of \(x\) that makes the equation true is 4, which when substituted into the equation and simplified turns into 11 = 11. A value of \(x\) that makes the equation false is 1, which when substituted into the equation and simplified turns into 5 = 11.
If you have a specific equation in mind, please share it, and I can provide a tailored response.