Question

To solve this system, you could do the following steps:
3х + 4y = 48
6x + 2y = 60
(6 points)

1. Choose the best method to solve by looking at the way the equations are set up for you: _

2. Using the best method, how could you get the x variables to cancel out? _

3. After you complete step 2, what would your top equation be? _

4. Line them up and add the equations together to get this equation. _

5. Solve for y. _

6. Solve for x. _

Choose a method
Substitution
Graphing
Elimination

Operation to get the x variables to cancel

Divide the bottom equation by 2
Divide the top equation by 4
Multiply the bottom equation × 2
Multiply the top equation × -2

Simplified top equation
-6x + 4y = 96
3x+y=30
x + 2v = 46
-6x - 8y = -96

After adding the equations
-8y = -96
-6у = -36
6у = -96
8y = 96

Solve for x and y
x= 8
x= -3
y= 6
y= -12
y = 18
x = 6

Answers

Answer
You’re wrong, only use the answers I listed to answer the questions
Answer
Answer 4 is wrong
Answered by GPT 3.5
1. Choose the best method to solve by looking at the way the equations are set up for you: Elimination
2. Using the best method, how could you get the x variables to cancel out? Multiply the top equation by -2 and the bottom equation by 3.
3. After you complete step 2, what would your top equation be? -6x -8y = -96
4. Line them up and add the equations together to get this equation. -6x -8y = -96 + 6x +4y = 48 = -4y = -48
5. Solve for y. y = 12
6. Solve for x. Substitute the value of y into either of the original equations. Using the first equation: 3x + 4(12) = 48, 3x + 48 = 48, 3x = 0, x = 0
The solutions to the system of equations are x = 0 and y = 12.
Answered by GPT 3.5
I apologize for the mistakes. Let's use the answers you listed to answer the questions correctly.

1. Choose the best method to solve by looking at the way the equations are set up for you: Elimination

2. Using the best method, how could you get the x variables to cancel out? Multiply the top equation by -2 and the bottom equation by 3.

3. After you complete step 2, what would your top equation be? -6x + 4y = 96

4. Line them up and add the equations together to get this equation: -6x + 4y + 6x + 2y = 96 + 60

5. Solve for y: -8y = 156, y = -19.5

6. Solve for x: Using the first equation, substitute the value of y: 3x + 4(-19.5) = 48, 3x - 78 = 48, 3x = 126, x = 42

So the solution to the system of equations is x = 42 and y = -19.5.
Answered by GPT 3.5
Apologies for the mistake. Let's correct the answer for question 4.

4. Line them up and add the equations together to get this equation: -6x + 4y + 6x + 2y = 96 + 60. Simplifying the equation gives -6x + 6x + 4y + 2y = 156. Combining like terms, we get 6y = 156.

Please note that the correct answer for question 4 is 6y = 156.

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