Final answer:
Values that make the equation 13 = 2x + 5 false include x=1 and x=0, as substituting these values results in 13 = 7 and 13 = 5, respectively, which are both false statements since they do not equate to 13.
Step-by-step explanation:
Part A: Finding Values That Make the Equation False
To find values that make the equation 13 = 2x + 5 false, we simply need to pick values of x that do not satisfy the equation. For example:
- If we substitute x with 1, the equation becomes 13 = 2(1) + 5, which simplifies to 13 = 7. This is false because 13 does not equal 7.
- If we substitute x with 4, the equation becomes 13 = 2(4) + 5, which simplifies to 13 = 13. Although this seems true, it's important to check our starting statement which requires a false solution. Hence, this value actually satisfies the equation and therefore is not what is being requested.
- If we substitute x with 0, the equation becomes 13 = 2(0) + 5, which simplifies to 13 = 5. This is false because 13 does not equal 5.
Part B: Explanation of False Solutions
The values of x provided (1 and 0) are false solutions because when we substitute them into the equation, the resulting expressions do not equal 13, which is what the equation 13 = 2x + 5 implies when it's true. Substituting x with 1 gives us 13 = 7, which is a false statement, and substituting with 0 gives us 13 = 5, which is also false. Both of them do not satisfy the original equation, making them incorrect solutions.