Algebra

5) How many solutions does the system of equations have?x-4y=12 and 5x-20y=60
A.one
B.two
C.infinitely many
D.none
6) How many solutions does the system of equations have? y-6x=-3 and 4y-24x=-16
A.one
B.two
C.infinitely many
D.none

1. 5) Multiply first equation by 5.

5x - 20y = 60

6) Multiply first equation by 4.

4y - 24x = -12

Subtracting first equation from the second, what does that tell you?

posted by PsyDAG
2. what is the answer for 5 and 6
A.one
B.two
C.infinitely many
D. none

posted by Victoria
3. I need help can someone help me.

posted by Victoria
4. come on. For #5, you have

5x-20y=60
5x-20y=60
They are the same equation. So, any solution to one is also a solution to the other.

Try a similar comparison for #6 and just think about what it means.

posted by Steve
5. thank you so much. thanks

posted by Victoria

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Given a text passage, determine:
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    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
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system
Algebra

5) How many solutions does the system of equations have?x-4y=12 and 5x-20y=60
A.one
B.two
C.infinitely many
D.none
6) How many solutions does the system of equations have? y-6x=-3 and 4y-24x=-16
A.one
B.two
C.infinitely many
D.none

1. 5) Multiply first equation by 5.

5x - 20y = 60

6) Multiply first equation by 4.

4y - 24x = -12

Subtracting first equation from the second, what does that tell you?

posted by PsyDAG
2. what is the answer for 5 and 6
A.one
B.two
C.infinitely many
D. none

posted by Victoria
3. I need help can someone help me.

posted by Victoria
4. come on. For #5, you have

5x-20y=60
5x-20y=60
They are the same equation. So, any solution to one is also a solution to the other.

Try a similar comparison for #6 and just think about what it means.

posted by Steve
5. thank you so much. thanks

posted by Victoria

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user
The text passage contains two mathematical questions related to systems of linear equations. The first question asks about the number of solutions for the system of equations x - 4y = 12 and 5x - 20y = 60. The second question asks

TYPE: MULTIPLE_QUESTIONS

The passage provides the questions but does not provide explicit answers to the questions. However, it does include some guidance on how to approach solving the problems. For example, it suggests multiplying the first equation by 5

TYPE: MULTIPLE_QUESTIONS