If you are given a true equation and you add the same number to each side, the resulting equation is also a true equation. If you are given a false equation and you add the same number to each side, will the resulting equation be a true equation or a false equation?
false equation
thank you
You're welcome.
To determine whether adding the same number to each side of a false equation will result in a true equation or a false equation, let's break it down step by step.
If you start with a false equation (meaning the left side does not equal the right side), it means that adding the same number to both sides will never make it true. Adding a constant value to both sides shifts the equation, but it does not change the fundamental mismatch between the left and right sides.
For example, consider the false equation: 2 + 3 = 7. If you add the same number, let's say 5, to both sides, it becomes: 2 + 3 + 5 = 7 + 5. Simplifying this, we get: 10 = 12, which is still a false equation.
Therefore, adding the same number to both sides of a false equation will not magically transform it into a true equation. The result will always remain false.