if x=80 which equation is true?

Question

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:

\( x - 27 = 53 \).