anonymous
  • anonymous
How do you determine if linear equations are parallel without graphing like 2x + 2y=4 3x +y=3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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lgbasallote
  • lgbasallote
simplify the equations as much as possible for example 2x + 2y = 4 i can divide all terms by 2 and simplify it to x + y = 2 got that part?
anonymous
  • anonymous
Yeah , after you simplify it how do you know if it's parallel or perpendicular
lgbasallote
  • lgbasallote
you look at the next equation (note that it has to be simplified as much as possible too) our first equation is x + y = 2 if our second equation is also x+y = c <---c is a constant (which means it is any number)..the important thing is the x+y if the left sides of BOTH equations look EXACTLY the same then they are parallel got it?

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anonymous
  • anonymous
Yeah what if the slope is the same ?
lgbasallote
  • lgbasallote
when the slopes are the same then they are parallel
lgbasallote
  • lgbasallote
to know if it is perpendicular...simplify the equations again...then put it in the form ax + by = c so you can see it better now when the left sides of BOTH equations look the same BUT the only difference is the sign of x, then they are perpendicular
lgbasallote
  • lgbasallote
would you like an example?
anonymous
  • anonymous
Sure:)
lgbasallote
  • lgbasallote
okay... 2x + 2y = 4 3y = 9 - 3x the first step is to simplify both equations..i divide the first equation by 2 and get x + y = 2 now i divide the second equation by 3 (since it is common to all terms) y = 3 - x now the second step is to put in the form ax + by = c the first equation is already in that form so no worries the second equation would then look like x + y = 3 now let us compare (1) x + y = 2 (2) x + y = 3 what can you say?
anonymous
  • anonymous
Parallel!!
anonymous
  • anonymous
Thank you so much

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