anonymous
  • anonymous
If I wanna find where to equations intersect how do I do that?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
solve each of them for the same variable. then set them equal to each other
anonymous
  • anonymous
you look it where the cross at when you plotted it which corrdinates are the same
anonymous
  • anonymous
its realted to streets

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anonymous
  • anonymous
Could I also make a table?
anonymous
  • anonymous
yes
anonymous
  • anonymous
but it takes longer
anonymous
  • anonymous
do to tbles then see which corrdinates where the same from both eqautions
anonymous
  • anonymous
and sometimes if the the point is not a pretty number like 2 or 4 and its something like 2.334 then its hard to get an estimate
anonymous
  • anonymous
or do rise over run first you have to find the y intersept then rise 2 and run 1
anonymous
  • anonymous
Okay so my equations are y=4x-3 and y=9x-13
anonymous
  • anonymous
say you have \[y= m _{1} \times x _{1} + b _{1}\] \[y= m _{2} \times x _{2} + b _{2}\] you set the y together and solve for x \[ (m _{2} \times x _{2}) + b _{2}= (m _{1} \times x _{1}) + b _{1}\]
anonymous
  • anonymous
and solve for x
anonymous
  • anonymous
You can do it various ways. 1. graph (but as you say if it isn't perfect then it doesn't work) 2. Substitution method 3. Addition method
anonymous
  • anonymous
in your case you will have \[4X-3= 9X -13\] add 13 to both sides \[4X-3+ 13= 9X -13+ 13\] \[4X+10= 9X\] subtract 4X to both sides \[4X-4X+10= 9X-4X\] \[10= 5X\] you want to get x by itself so divide 5 to both sides \[2= X\]
anonymous
  • anonymous
y = 4x - 3 y = 9x - 13 put in what y = in the second equation into the 1st equation 9x - 13 = 4x - 3 subtract 4x from both sides 5x - 13 = -3 5x = 10 x = 2
anonymous
  • anonymous
You are not done yet you want to find the point (x, y) and you have x so just plug in x to either function and you get the values for y

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