If I wanna find where to equations intersect how do I do that?

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If I wanna find where to equations intersect how do I do that?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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solve each of them for the same variable. then set them equal to each other
you look it where the cross at when you plotted it which corrdinates are the same
its realted to streets

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Could I also make a table?
yes
but it takes longer
do to tbles then see which corrdinates where the same from both eqautions
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
or do rise over run first you have to find the y intersept then rise 2 and run 1
Okay so my equations are y=4x-3 and y=9x-13
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 \[ (m _{2} \times x _{2}) + b _{2}= (m _{1} \times x _{1}) + b _{1}\]
and solve for x
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
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 \[2= X\]
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
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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