wes_is_here
  • wes_is_here
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –1 6 0 4 Line 2 x y 0 7 1 5 A.0 B.exactly 1 C.exactly 2 D.infinitely many
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zpupster
  • zpupster
infinitely many if the 2 lines were the same line, they would have the same slope exactly 1 if the 2 lines crossed 0 if they were parallel or again, they would have the same slope. so off to our slope formula \[m=\frac{ y2-y1 }{ x2-x1 }\] plugging your first set of points from Line 1 m= 4-6/0-(-1)=? DO THIS FOR LINE 2 then we will compare slopes first.
wes_is_here
  • wes_is_here
??
zpupster
  • zpupster
ok lets take it slower

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wes_is_here
  • wes_is_here
ok
zpupster
  • zpupster
the questions is asking about solutions to the lines if we look at the slope of the lines --and graph the lines we can determine the number of solutions it has we do this by using the slope formula: \[m=\frac{ y2-y1 }{ x2-x1 }\]
wes_is_here
  • wes_is_here
ok
zpupster
  • zpupster
m= 4-6/0-(-1)=? I did the first one for you. if you look at the table for line 1 y2=4 y1=6 x2=0 x1=-1 i plugged them in the slope formula m= 4-6/0-(-1)=? just preform the math. that will give you the slope for Line 1 the we will do that for Line 2 and compare the slopes.
wes_is_here
  • wes_is_here
im still confused
zpupster
  • zpupster
m= 4-6/0-(-1)=? just preform the math. try this first
wes_is_here
  • wes_is_here
i dont know how
zpupster
  • zpupster
well what is 4-6
wes_is_here
  • wes_is_here
2
zpupster
  • zpupster
no since 6 is bigger than 4 it is??
wes_is_here
  • wes_is_here
-2
zpupster
  • zpupster
yes now do 0-(-1)
wes_is_here
  • wes_is_here
-1
zpupster
  • zpupster
since there are 2 negatives in front of the one it is 0+1=
wes_is_here
  • wes_is_here
so its 1
zpupster
  • zpupster
so our slope is -2/1 0r just -2
zpupster
  • zpupster
remember Line 1 form your chart? Line 1 y2=4 y1=6 x2=0 x1=-1 Line 2 fill in Line 2 from oyur chart y2= y1= x2= x1=
wes_is_here
  • wes_is_here
yeah
wes_is_here
  • wes_is_here
?
wes_is_here
  • wes_is_here
@zpupster
zpupster
  • zpupster
sorry had to leave. Line 2 fill in Line 2 from your chart in your question. y2= y1= x2= x1=
wes_is_here
  • wes_is_here
??

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