My math teacher wants us to prove that all of our answers are correct.
But how am I supposed to be able to prove stuff, like this, for example.
The directions want you to write out the words in to an equation.
Seven is the sum of X and 5.
so my answer is 7= x +5
How would I prove my answer?
Doesn't x = 2? Substitute 2 for x.
Doesn't 7 + 2 = 7?
We're not supposed to figure out what the variable is.
The direction for the question was to write out the sentence in an equation
The question wants you to figure out what number replaces X.
7 = x + 5
7 = ? + 5.
What number replaces x, or the question-mark? You're going to write:
x = (some digit, which is your answer)
Proving is easy. Just write
7 = x + 5 down again, but this time replacing x with your answer.
Oh.
If it's any comfort, I have no idea how writing sentences embodying equations could be proven, either.
To prove that your answer is correct, you can follow a step-by-step process to validate your solution. Here's how you can do it:
1. Start with the given information: "Seven is the sum of X and 5."
Equation: 7 = X + 5
2. Identify the properties, rules, or equations that support your answer. In this case, it's the transitive property of equality, which states that if a = b and b = c, then a = c.
3. Apply the properties, rules, or equations by manipulating the equation to demonstrate that it is logically correct and equivalent to the given information.
Start with: 7 = X + 5
Subtract 5 from both sides: 7 - 5 = X + 5 - 5
Simplify: 2 = X
4. Confirm that the equation you obtained logically matches the original statement by substituting the values back into the equation.
Substitute X = 2 from the equation you derived into the original statement:
Seven is the sum of 2 and 5. (2 + 5 = 7)
Since the values satisfy the original statement, your equation (2 = X) is correct.
By following these steps and demonstrating that your equation satisfies the given information, you can prove the correctness of your answer.