anonymous
  • anonymous
How do you solve a system of linear equations??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I like to subtract multiples of the equations to solve for one of the variables, then back substitute.
anonymous
  • anonymous
Okay I have an example can you show me how to do it? y=2x+6 and 4x-2y=13
anonymous
  • anonymous
it's in my math book. umm,

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anonymous
  • anonymous
ok umm, i'll do the second one for you. 4x-2y=13 4x=15y x=15y/4
anonymous
  • anonymous
i think that's right
anonymous
  • anonymous
Well here let me type it the right way I gues y=2x+6 4x-2y=13 now is that easier??
anonymous
  • anonymous
umm that's the same as before.
anonymous
  • anonymous
I know but it's grouped together how do they work together or correlate?
anonymous
  • anonymous
Certainly. \[y=2x+6\implies 2y = 4x + 12 \implies -4x + 2y = 12\] Since we have another equation with a -2y we can just add the left and right sides of both equations together \(-4x+2y=12\) +\(4x-2y=13\) \[\implies 0 = 25\] So there is no solution.
anonymous
  • anonymous
Thankyou sooo much!! I'm gonna work on another problem like that one and I need you to see if I'm right okay?
anonymous
  • anonymous
Certainly.
anonymous
  • anonymous
You can actually note that those two equations have no solution because the lines are parallel so they'll never cross eachother. That's what you're finding when you solve these systems is where the graphs intersect.
anonymous
  • anonymous
Ohh! Okay I gotcha now that makes more sence.
anonymous
  • anonymous
Now I'm officially lost on this equation: 4x+2y=-10 -6x-2y=12 anad I got -2x+y=2 ;what do I do from there??
anonymous
  • anonymous
So close! But 2y -2y = 0 not y
anonymous
  • anonymous
Well I know but I didnt know whether to put y or 0y...so do I keep going from there or??
anonymous
  • anonymous
0y is correct. but that's the same as 0 which is the same as not putting it at all.
anonymous
  • anonymous
So you have -2x = 2
anonymous
  • anonymous
What is x?
anonymous
  • anonymous
-1
anonymous
  • anonymous
So substitute that in for x in either one of your original equations to solve for y.
anonymous
  • anonymous
3, so the answer would be (-1,3)
anonymous
  • anonymous
Or would it be -3???
anonymous
  • anonymous
(-1,-3) is correct.
anonymous
  • anonymous
Alright. Well, thankyou so much for helping me!(: that makes way more sence now

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