text: # 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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  decide whether the graphs of the two equations are parallel lines. a. y=3x+2, y=1/3x+4 b. 3y=15x+4, y=5x+1
  
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  Determine whether each pair of equations represents parallel lines 3x=5y-2 and 10y=4-6x
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  determine whether the pair of equations represents parallel lines 4x=5y-5 10y=10-8x
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  5x+10y +15z-15x+10y-5z+5x-10y-5z / (5x+10y+15z)-(15x+10y-5z)+(5x-10y-5z) a. 1/3 b. 1 c. x+2y+z / x-2y+3z d. x-2y-z / x+2y-3z e. x-2y-z / x+2y+z my answer is none of above, is - 1/3, I didn't know I done it wrong or the question is …
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  Tell whether the lines for each pair of equations mare parallel, perpendicular, or neither. y= -2x+4 -5x+10y=5
  
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explanation: The text extract contains a math question and an answer to this question. The question is about determining whether the graphs of two given equations are parallel lines. The equations are 2x+3y=5 and 9y+6x-1=0. The answer provided states that the lines are parallel because when the equations are rearranged, the coefficients of x and y are proportional, indicating parallelism.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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!
  
  ## Similar Questions
  
  Solve each system of equations, give the solution and state whether there are no solutions or many solutions. 1 )3x + 8y = 1 7x + 4y = 17 Answer: (3,1) 2) -3x + 5y = -7 9x + 2y = 38 Answer: (4,1) 3) 7r + 3s = 13 14r - 15s = -16 Answer: …
  
  decide whether the graphs of the two equations are parallel lines. a. y=3x+2, y=1/3x+4 b. 3y=15x+4, y=5x+1
  
  decide whether the graphs of the two equations are parallel lines. a. y=3x+2, y=1/3x+4 b. 3y=15x+4, y=5x+1
  4. ### Plz Check My Geometry
  
  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 …
  5. ### Plz Check My Geometry
  
  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 …
  6. ### Plz Check my Geometry(sOo0n)
  
  1.) Given points A(-4, 5), B(2, 3), C(0, 4) and D(5, 0), decide if AB and CD are parallel, perpendicular or neither. =Neither 2.)Given the equations y = 1x + 7 and y = 3x - 2, decide whether the lines are parallel, perpendicular or …
  7. ### algebra
  
  Determine whether each pair of equations represents parallel lines 3x=5y-2 and 10y=4-6x
  8. ### Algebra
  
  determine whether the pair of equations represents parallel lines 4x=5y-5 10y=10-8x
  9. ### math help
  
  5x+10y +15z-15x+10y-5z+5x-10y-5z / (5x+10y+15z)-(15x+10y-5z)+(5x-10y-5z) a. 1/3 b. 1 c. x+2y+z / x-2y+3z d. x-2y-z / x+2y-3z e. x-2y-z / x+2y+z my answer is none of above, is - 1/3, I didn't know I done it wrong or the question is …
  10. ### Algebra 1
  
  Tell whether the lines for each pair of equations mare parallel, perpendicular, or neither. y= -2x+4 -5x+10y=5
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and an answer to this question. The question is about determining whether the graphs of two given equations are parallel lines. The equations are 2x+3y=5 and 9y+6x-1=0. The answer provided states that the lines are parallel because when the equations are rearranged, the coefficients of x and y are proportional, indicating parallelism.
  
  Label: question-and-answer