Question
chat gpt 3.5
Answers
Answered by
GPT-4 Turbo
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i want you to solve this problem
What is the solution of the equation x − 9/4 = −3/8 ?(1 point)
What is the solution of the equation x − 9/4 = −3/8 ?(1 point)
Answered by
GPT-4 Turbo
To solve the equation for x, you need to isolate x on one side. Here's how you do it:
The equation is:
x - 9/4 = -3/8
Firstly, to isolate x, you need to add 9/4 to both sides of the equation to cancel out the -9/4 on the left side:
x - 9/4 + 9/4 = -3/8 + 9/4
Now, to combine -3/8 and 9/4, it's easiest if we find a common denominator. The least common denominator for 4 and 8 is 8. So we'll convert 9/4 to a fraction with the denominator of 8:
9/4 is the same as (9 * 2)/(4 * 2) = 18/8.
Now you can add -3/8 and 18/8:
-3/8 + 18/8 = (18 - 3)/8
This simplifies to:
15/8
So now the equation is:
x = 15/8
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.
The equation is:
x - 9/4 = -3/8
Firstly, to isolate x, you need to add 9/4 to both sides of the equation to cancel out the -9/4 on the left side:
x - 9/4 + 9/4 = -3/8 + 9/4
Now, to combine -3/8 and 9/4, it's easiest if we find a common denominator. The least common denominator for 4 and 8 is 8. So we'll convert 9/4 to a fraction with the denominator of 8:
9/4 is the same as (9 * 2)/(4 * 2) = 18/8.
Now you can add -3/8 and 18/8:
-3/8 + 18/8 = (18 - 3)/8
This simplifies to:
15/8
So now the equation is:
x = 15/8
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.
Answer
Which of the following should be done to both sides of the equation x + 11 = −17 to solve the value of x ? (1 point)
Responses
subtract 11
subtract 11
add 11
add 11
subtract 17
subtract 17
add 17
Responses
subtract 11
subtract 11
add 11
add 11
subtract 17
subtract 17
add 17
Answered by
GPT-4 Turbo
To solve the equation for x in x + 11 = -17, you should subtract 11 from both sides of the equation. This will isolate x on one side.
The correct response is:
subtract 11
The correct response is:
subtract 11
Answer
What is the solution of the equation x + 23 = 9 ?(1 point)
Responses
32
32
−32
negative 32
14
14
−14
negative 14
Responses
32
32
−32
negative 32
14
14
−14
negative 14
Answered by
GPT-4 Turbo
To solve the equation x + 23 = 9, you need to isolate x. Do this by subtracting 23 from both sides of the equation:
x + 23 - 23 = 9 - 23
This results in:
x = 9 - 23
x = -14
So the solution to the equation is:
x = -14
Therefore, the correct response is:
−14
negative 14
x + 23 - 23 = 9 - 23
This results in:
x = 9 - 23
x = -14
So the solution to the equation is:
x = -14
Therefore, the correct response is:
−14
negative 14
Answer
Which of the following equations has a solution of −8 ?(1 point)
Responses
x − 8 = 0
x minus 8 equals 0
x − 4 = −12
x minus 4 equals negative 12
x + 3 = −11
x plus 3 equals negative 11
x − 10 = 2
Responses
x − 8 = 0
x minus 8 equals 0
x − 4 = −12
x minus 4 equals negative 12
x + 3 = −11
x plus 3 equals negative 11
x − 10 = 2
Answered by
GPT-4 Turbo
To find which of the given equations has a solution of -8, we can simply substitute x with -8 in each equation and see which one holds true:
1. x − 8 = 0
If x = -8:
-8 − 8 = 0
-16 ≠ 0 (This equation does not hold true for x = -8)
2. x − 4 = −12
If x = -8:
-8 − 4 = −12
-12 = -12 (This equation holds true for x = -8)
3. x + 3 = −11
If x = -8:
-8 + 3 = -11
-5 ≠ -11 (This equation does not hold true for x = -8)
4. x − 10 = 2
If x = -8:
-8 − 10 = 2
-18 ≠ 2 (This equation does not hold true for x = -8)
The correct equation that has a solution of -8 is:
x − 4 = −12
x minus 4 equals negative 12
1. x − 8 = 0
If x = -8:
-8 − 8 = 0
-16 ≠ 0 (This equation does not hold true for x = -8)
2. x − 4 = −12
If x = -8:
-8 − 4 = −12
-12 = -12 (This equation holds true for x = -8)
3. x + 3 = −11
If x = -8:
-8 + 3 = -11
-5 ≠ -11 (This equation does not hold true for x = -8)
4. x − 10 = 2
If x = -8:
-8 − 10 = 2
-18 ≠ 2 (This equation does not hold true for x = -8)
The correct equation that has a solution of -8 is:
x − 4 = −12
x minus 4 equals negative 12
Answer
Which of the following should be done to both sides of the equation x − 3.41 = −19 to solve the value of x ?(1 point)
Responses
add 19
add 19
add 3.41
add 3.41
subtract 19
subtract 19
subtract 3.41
Responses
add 19
add 19
add 3.41
add 3.41
subtract 19
subtract 19
subtract 3.41
Answered by
GPT-4 Turbo
To solve for the value of x in the equation x − 3.41 = −19, you need to get x by itself on one side of the equation. To do this, you should add 3.41 to both sides to cancel out the -3.41 on the left side:
x − 3.41 + 3.41 = −19 + 3.41
This simplifies to:
x = −19 + 3.41
So the operation to perform is:
add 3.41
x − 3.41 + 3.41 = −19 + 3.41
This simplifies to:
x = −19 + 3.41
So the operation to perform is:
add 3.41
Answer
Which of the following equations has a solution of −1/2 ?(1 point)
Responses
x + 1/2 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1
x − 1 = −1/2
x minus 1 equals negative Start Fraction 1 over 2 End Fraction
x + 1 = 1/2
x plus 1 equals Start Fraction 1 over 2 End Fraction
x − 1/2 = 1
Responses
x + 1/2 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1
x − 1 = −1/2
x minus 1 equals negative Start Fraction 1 over 2 End Fraction
x + 1 = 1/2
x plus 1 equals Start Fraction 1 over 2 End Fraction
x − 1/2 = 1
Answered by
GPT-4 Turbo
To find which of the given equations has a solution of -1/2, we can substitute x with -1/2 in each equation and see which one is a true statement:
1. x + 1/2 = −1
If x = -1/2:
-1/2 + 1/2 = −1
0 ≠ −1 (This equation does not hold true for x = -1/2)
2. x − 1 = −1/2
If x = -1/2:
-1/2 − 1 = −1/2
-1/2 − 2/2 = −1/2
-3/2 ≠ -1/2 (This equation does not hold true for x = -1/2)
3. x + 1 = 1/2
If x = -1/2:
-1/2 + 1 = 1/2
1/2 = 1/2 (This equation holds true for x = -1/2)
4. x − 1/2 = 1
If x = -1/2:
-1/2 − 1/2 = 1
-2/2 ≠ 1
-1 ≠ 1 (This equation does not hold true for x = -1/2)
The correct equation that has a solution of -1/2 is:
x + 1 = 1/2
x plus 1 equals Start Fraction 1 over 2 End Fraction
1. x + 1/2 = −1
If x = -1/2:
-1/2 + 1/2 = −1
0 ≠ −1 (This equation does not hold true for x = -1/2)
2. x − 1 = −1/2
If x = -1/2:
-1/2 − 1 = −1/2
-1/2 − 2/2 = −1/2
-3/2 ≠ -1/2 (This equation does not hold true for x = -1/2)
3. x + 1 = 1/2
If x = -1/2:
-1/2 + 1 = 1/2
1/2 = 1/2 (This equation holds true for x = -1/2)
4. x − 1/2 = 1
If x = -1/2:
-1/2 − 1/2 = 1
-2/2 ≠ 1
-1 ≠ 1 (This equation does not hold true for x = -1/2)
The correct equation that has a solution of -1/2 is:
x + 1 = 1/2
x plus 1 equals Start Fraction 1 over 2 End Fraction