Question: 2. Write a new equation that, when added to 50 + 1 = 51, gives a sum that is also a true equation…

2. Write a new equation that, when added to 50 + 1 = 51, gives a sum that is also a true equation.
3. Write a new equation that, when added to 50 + 1 = 51, gives a sum that is a false equation.

Solution

2. We need to write a new equation that, when added to \(50 + 1 = 51\), gives a sum that is also a true equation. First, observe the given true equation: \[ 50 + 1 = 51 \] A simple equation that maintains the truth when summed with the above would be \(0 = 0\). Add \(0 = 0\) to the original equation: \[ 50 + 1 + 0 = 51 + 0 \] This simplifies to: \[ 50 + 1 = 51 \] which is still true. 3. We need to write a new equation that, when added to \(50 + 1 = 51\), gives a sum that is a false equation. Use a false equation like \(0 = 1\). Add \(0 = 1\) to the original equation: \[ 50 + 1 + 0 = 51 + 1 \] This simplifies to: \[ 50 + 1 = 52 \] which is false.