anonymous
  • anonymous
Solve the following system of equations graphically, find the graph 2x -y = -1 x + y = -2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
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anonymous
  • anonymous
2?

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More answers

anonymous
  • anonymous
Easiest way to do this is to plug in the point of intersection and if both equations are true, then it's the correct answer. For instance, let's check 2. \[2x - y = -1\]\[2(1) - (-1) = -1\]\[2 + 1 = -1\]\[3 ≠ -1\]THerefore, it isn't 2.
anonymous
  • anonymous
i was talking about the graph...
anonymous
  • anonymous
Also, if the point of intersection is the same in two choices, then you have to make sure the lines make sense.
anonymous
  • anonymous
And yes, 2 is incorrect since the solution set is also the point of intersection when graphed...
anonymous
  • anonymous
how about 3?..
anonymous
  • anonymous
Are you just guessing at this point?
anonymous
  • anonymous
no i'm asking if you can help me solve it...
anonymous
  • anonymous
Alright. I explained the process above... Let's take a look at choice 3... 2x - y = -1 Plus in the point of intersection, (-1, 1) 2(-1) - (1) = -1 -2 - 1 = -1 -3 ≠ -1 Do you see how the final equations ends up false since -3 does NOT equal -1?
anonymous
  • anonymous
ok. and choice 1, (-1, -1) 2(-1)-(-1)=-1
anonymous
  • anonymous
-1+-1=2
anonymous
  • anonymous
so it is choice 1..
anonymous
  • anonymous
thank you...
amistre64
  • amistre64
my idea would be to use a knowledge of the equations to match the graph in this manner x + y = -2 notice this is pretty easy to turn to y = mx+b format y = -x-2 we need to find an option that has a line going thru y=-2 and a downill slope of -1
anonymous
  • anonymous
Um... \[2(-1) - (-1) = -1\]\[-2 + 1 = -1\]\[-1 = -1\]You should always check both equations by the way for the future, but it is indeed choice 1 :)
anonymous
  • anonymous
oh, ok sorry.. thanks again...
amistre64
  • amistre64
1 and 3 fit the thru -2 part; and 3 is too steep for comfort
anonymous
  • anonymous
A plot is attached.
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