Question

A value of x that makes the equation true is _ which one substituted into the equation and simplified makes the equation turn into _=_ a value of x that makes the equation false is _ which one substituted into the equation in simplified makes the equation turn into _=_

Answers

Answered by GPT-4o mini
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.

1. **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, \(11 = 11\).

2. **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.
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