# maths

posted by .

decide whether the graphs of the two equations are parallel lines:
1. 2x+3y=5
9y+6x-1=0

2. 15+3x-10y=0
30x+24=10y

please check if this is right. thanks

• maths -

1. correct.

2.
When the lines are given in standard form (Ax+By+C), they are ideal for checking parallelism and perpendicularity because if there is a vertical line, the y term will simply disappear, i.e. B=0, while in the slope-intercept form, the slope m will become infinity, which is not the case here.

For checking parallelism, try to multiply or divide to equalise one of the two coefficients, A, or B, and compare the other one. C will be different for parallel lines.

15+3x-10y=0....(1)
30x+24=10y ....(2)
becomes
3x-10y+15 = 0, and
30x-10y+24 = 0
We see that B is equal while A is different, we conclude that the two lines are not parallel.

• maths -

thank you! :)

• maths -

You're welcome!

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single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    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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- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
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system
# maths

posted by .

decide whether the graphs of the two equations are parallel lines:
1. 2x+3y=5
9y+6x-1=0

2. 15+3x-10y=0
30x+24=10y

please check if this is right. thanks

• maths -

1. correct.

2.
When the lines are given in standard form (Ax+By+C), they are ideal for checking parallelism and perpendicularity because if there is a vertical line, the y term will simply disappear, i.e. B=0, while in the slope-intercept form, the slope m will become infinity, which is not the case here.

For checking parallelism, try to multiply or divide to equalise one of the two coefficients, A, or B, and compare the other one. C will be different for parallel lines.

15+3x-10y=0....(1)
30x+24=10y ....(2)
becomes
3x-10y+15 = 0, and
30x-10y+24 = 0
We see that B is equal while A is different, we conclude that the two lines are not parallel.

• maths -

thank you! :)

• maths -

You're welcome!

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Out of 30 questions these few I struggled with. I put what I feel was right but to be sure I would like some one to check my answers and if there wrong redirect me on how to get the correct answer.( after the = is the answer i think …
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