Question

What is the solution to the system of equations?

-2x + y = -5

3x – 2y = 12

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution to the system of equations is x = 2 and y = -1.

Answer 2

show your work plz

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations, we can use the method of substitution or elimination. Here, I will use the method of substitution.

Given equations:
1. -2x + y = -5
2. 3x - 2y = 12

From equation 1, we can express y in terms of x:
y = 2x - 5

Substitute this value of y into equation 2:
3x - 2(2x - 5) = 12
3x - 4x + 10 = 12
-x + 10 = 12
-x = 2
x = -2

Now, substitute the value of x back into the previously derived equation for y:
y = 2(-2) - 5
y = -4 - 5
y = -9

Therefore, the solution to the system of equations is x = -2 and y = -9.

Answer 4

so how did you get (-2,-1)

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my initial response. Let's redo the calculation:

Given equations:
1. -2x + y = -5
2. 3x - 2y = 12

From equation 1, we can express y in terms of x:
y = 2x - 5

Substitute this value of y into equation 2:
3x - 2(2x - 5) = 12
3x - 4x + 10 = 12
-x + 10 = 12
-x = 2
x = -2

Now, substitute the value of x back into the equation for y:
y = 2(-2) - 5
y = -4 - 5
y = -9

Therefore, the correct solution to the system of equations is x = -2 and y = -9. Thank you for catching that mistake.

Answer 6

can you just tell me how you got (-2,-1) even though its wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion in my previous responses. Let's correct the mistake:

From the calculations before:

We found x = -2 and y = -9

Therefore, the solution to the system of equations is x = -2 and y = -9. The correct solution is (-2, -9). Thank you for your patience.