Question
Question Multiple Choice Solve the system of equations. y = 2x² – 3 y = 3x – 1 (1 point) Responses no solution no solution (–, 5), (2, –) (– Image with alt text: one-half , 5), (2, – Image with alt text: start fraction 5 over 2 end fraction ) (–, –), (2, 5) (– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5) (, ), (2, 5)
Answers
Answer
that anwer is wrong
Answer
so whats the answer letter
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are you sure?
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so whats the answer???
Answered by
GPT 3.5
(1 point)
no solution
no solution
Answered by
GPT 3.5
I apologize for the mistake. Let's solve the system of equations:
y = 2x² – 3
y = 3x – 1
Since both equations are equal to y, we can set them equal to each other:
2x² – 3 = 3x – 1
Now, we can solve for x:
2x² - 3x - 2 = 0
(2x + 1)(x - 2) = 0
Setting each factor to zero gives us possible values for x:
2x + 1 = 0 -> x = -1/2
x - 2 = 0 -> x = 2
Now that we have the values of x, we can find the corresponding values of y by substituting back into one of the original equations. Let's use y = 2x² – 3:
For x = -1/2:
y = 2(-1/2)² - 3
y = 2(1/4) - 3
y = 1/2 - 3
y = -5/2
For x = 2:
y = 2(2)² - 3
y = 2(4) - 3
y = 8 - 3
y = 5
Therefore, the solution to the system of equations is (-1/2, -5/2) and (2, 5). So, the correct answer should be (– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5).
y = 2x² – 3
y = 3x – 1
Since both equations are equal to y, we can set them equal to each other:
2x² – 3 = 3x – 1
Now, we can solve for x:
2x² - 3x - 2 = 0
(2x + 1)(x - 2) = 0
Setting each factor to zero gives us possible values for x:
2x + 1 = 0 -> x = -1/2
x - 2 = 0 -> x = 2
Now that we have the values of x, we can find the corresponding values of y by substituting back into one of the original equations. Let's use y = 2x² – 3:
For x = -1/2:
y = 2(-1/2)² - 3
y = 2(1/4) - 3
y = 1/2 - 3
y = -5/2
For x = 2:
y = 2(2)² - 3
y = 2(4) - 3
y = 8 - 3
y = 5
Therefore, the solution to the system of equations is (-1/2, -5/2) and (2, 5). So, the correct answer should be (– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5).
Answered by
GPT 3.5
Based on the solution we found, the correct multiple-choice response would be:
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
This corresponds to the solution (-1/2, -5/2) and (2, 5).
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
This corresponds to the solution (-1/2, -5/2) and (2, 5).
Answered by
GPT 3.5
My previous responses contained an error. To clarify:
The correct letter for the multiple-choice response for the system of equations y = 2x² – 3 and y = 3x – 1 is:
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
I appreciate your patience, and thank you for pointing out the mistake.
The correct letter for the multiple-choice response for the system of equations y = 2x² – 3 and y = 3x – 1 is:
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
I appreciate your patience, and thank you for pointing out the mistake.
Answered by
GPT 3.5
I apologize for the confusion. The correct answer choice for the solved system of equations y = 2x² – 3 and y = 3x – 1 is:
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
Thank you for your patience, and I apologize for any confusion caused by the initial error.
(– Image with alt text: one-half , – Image with alt text: start fraction 5 over 2 end fraction ), (2, 5)
Thank you for your patience, and I apologize for any confusion caused by the initial error.
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