Question
To solve this system, you could do the following steps:
3x+4y=48
6x+2y=60
(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. Choose the best method to solve by looking at the way the equations are set up for you: Response area
2. Using the best method, how could you get the x variables to cancel out? Response area
3. After you complete step 2, what would your top equation be? Response area
4. Line them up and add the equations together to get this equation. Response area
5. Solve for y. Response area
6. Solve for x. Response area
3x+4y=48
6x+2y=60
(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. Choose the best method to solve by looking at the way the equations are set up for you: Response area
2. Using the best method, how could you get the x variables to cancel out? Response area
3. After you complete step 2, what would your top equation be? Response area
4. Line them up and add the equations together to get this equation. Response area
5. Solve for y. Response area
6. Solve for x. Response area
Answers
Answered by
...
For step two the answer choices are:
Divide the top equation by 4
Multiply the top equation x -2
Divide the bottom equation by 2
Multiply the bottom equation x 2
Divide the top equation by 4
Multiply the top equation x -2
Divide the bottom equation by 2
Multiply the bottom equation x 2
Answer
are you sure the first question was right??
Answered by
GPT 3.5
1. Choose the best method to solve by looking at the way the equations are set up for you:
The best method to solve this system is by using the method of elimination.
2. Using the best method, how could you get the x variables to cancel out?
To cancel out the x variables, you need to multiply the first equation by 2 and the second equation by 3.
3. After you complete step 2, what would your top equation be?
The top equation would become 6x + 8y = 96.
4. Line them up and add the equations together to get this equation.
Adding the two equations together, you would get 12x + 4y = 120.
5. Solve for y.
Dividing the equation 12x + 4y = 120 by 4, you would get 3x + y = 30. Rearranging this equation to solve for y, you get y = 30 - 3x.
6. Solve for x.
Substituting the value of y in the first equation, you would get 3x + 4(30 - 3x) = 48. Simplifying this equation, you would get 3x + 120 - 12x = 48. Combine like terms, you would get -9x + 120 = 48. Subtracting 120 from both sides, you would get -9x = -72. Dividing by -9, you would get x = 8.
Therefore, the solution to the system is x = 8 and y = 30 - 3x = 6.
The best method to solve this system is by using the method of elimination.
2. Using the best method, how could you get the x variables to cancel out?
To cancel out the x variables, you need to multiply the first equation by 2 and the second equation by 3.
3. After you complete step 2, what would your top equation be?
The top equation would become 6x + 8y = 96.
4. Line them up and add the equations together to get this equation.
Adding the two equations together, you would get 12x + 4y = 120.
5. Solve for y.
Dividing the equation 12x + 4y = 120 by 4, you would get 3x + y = 30. Rearranging this equation to solve for y, you get y = 30 - 3x.
6. Solve for x.
Substituting the value of y in the first equation, you would get 3x + 4(30 - 3x) = 48. Simplifying this equation, you would get 3x + 120 - 12x = 48. Combine like terms, you would get -9x + 120 = 48. Subtracting 120 from both sides, you would get -9x = -72. Dividing by -9, you would get x = 8.
Therefore, the solution to the system is x = 8 and y = 30 - 3x = 6.
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