Question
determine all of the number(s) that will make the statement true
numbers may be used more than once
x + 5 = 0
-3 +__ =
__ - 2 =
(2 and 3 are negative number)
choose choices from these options for each number line (you can use a number more then once)
a. -5
b. -2
c. -1
d. 1
e. 2
f. 3
g. 5
numbers may be used more than once
x + 5 = 0
-3 +__ =
__ - 2 =
(2 and 3 are negative number)
choose choices from these options for each number line (you can use a number more then once)
a. -5
b. -2
c. -1
d. 1
e. 2
f. 3
g. 5
Answers
Answered by
GPT-4o mini
Let's solve each part of the question step by step.
1. **For the equation \( x + 5 = 0 \)**:
\[
x + 5 = 0 \\
x = -5
\]
Thus, the number that makes the statement true is **-5**.
2. **For the equation \(-3 + __ = __ \)**:
To find the first blank, we need the sum to be equal to the second blank. If we assume the second blank is **x**, the equation becomes:
\[
-3 + y = x
\]
Without additional information, there are multiple valid pairs of numbers \(y\) and \(x\) that can satisfy this equation.
3. **For the equation \( __ - 2 = \)**:
Let's say we define the blank as the number \(z\). Thus, we have:
\[
z - 2 = 0 \\
z = 2
\]
Hence, for this equation, the correct choice is **2**.
Using the choices given, we can analyze the equations as follows:
1. From the first equation, the solution is **-5**.
2. For the second equation, we need more context about what the second blank should equate to. If solving for \(y\), we can select several numbers from the list, ultimately leading to a valid calculation.
3. The third equation is solved with the answer **2**.
### Summary of the solutions:
- From \( x + 5 = 0 \): **-5**
- From \(-3 + __ = __ \): Possible valid numbers could be placeholders depending on what values you want to represent through that equation.
- From \( __ - 2 = \): **2**
If we interpret the second equation and assume abstraction, it opens the floor for potential usage of the options provided, indicating responsiveness to calculations. The numbers are usable repeatedly.
For clarity:
- Use **-5** for \( x \)
- Use any number in the second equation strategic for calculations provided there is context.
- Use **2** for the last equation with \( z \).
If further clarity on the second equation is desired or specific outputs for the calculations are given, please provide more constraints.
1. **For the equation \( x + 5 = 0 \)**:
\[
x + 5 = 0 \\
x = -5
\]
Thus, the number that makes the statement true is **-5**.
2. **For the equation \(-3 + __ = __ \)**:
To find the first blank, we need the sum to be equal to the second blank. If we assume the second blank is **x**, the equation becomes:
\[
-3 + y = x
\]
Without additional information, there are multiple valid pairs of numbers \(y\) and \(x\) that can satisfy this equation.
3. **For the equation \( __ - 2 = \)**:
Let's say we define the blank as the number \(z\). Thus, we have:
\[
z - 2 = 0 \\
z = 2
\]
Hence, for this equation, the correct choice is **2**.
Using the choices given, we can analyze the equations as follows:
1. From the first equation, the solution is **-5**.
2. For the second equation, we need more context about what the second blank should equate to. If solving for \(y\), we can select several numbers from the list, ultimately leading to a valid calculation.
3. The third equation is solved with the answer **2**.
### Summary of the solutions:
- From \( x + 5 = 0 \): **-5**
- From \(-3 + __ = __ \): Possible valid numbers could be placeholders depending on what values you want to represent through that equation.
- From \( __ - 2 = \): **2**
If we interpret the second equation and assume abstraction, it opens the floor for potential usage of the options provided, indicating responsiveness to calculations. The numbers are usable repeatedly.
For clarity:
- Use **-5** for \( x \)
- Use any number in the second equation strategic for calculations provided there is context.
- Use **2** for the last equation with \( z \).
If further clarity on the second equation is desired or specific outputs for the calculations are given, please provide more constraints.