Question

if x=80 which equation is true?
Given
x-41=-39
x+41=-39
x-27=53
x+27=53

Answer 1

To determine which equation is true when \( x = 80 \), we can substitute \( x \) into each equation and check whether they hold true.

1. **For the equation** \( x - 41 = -39 \):
\[
80 - 41 = 39 \quad \text{(not true, because \( 39 \neq -39 \))}
\]

2. **For the equation** \( x + 41 = -39 \):
\[
80 + 41 = 121 \quad \text{(not true, because \( 121 \neq -39 \))}
\]

3. **For the equation** \( x - 27 = 53 \):
\[
80 - 27 = 53 \quad \text{(not true, because \( 53 \neq 53 \))}
\]

4. **For the equation** \( x + 27 = 53 \):
\[
80 + 27 = 107 \quad \text{(not true, because \( 107 \neq 53 \))}
\]

Now, checking the third equation again for clarity:
1. **Checking \( x - 27 = 53 \)**:
\[
x - 27 = 80 - 27 = 53 \quad \text{(this is correct)}
\]

Therefore, the only true equation when \( x = 80 \) is:

**\( x - 27 = 53 \)**.