## anonymous 5 years ago If I wanna find where to equations intersect how do I do that?

1. anonymous

solve each of them for the same variable. then set them equal to each other

2. anonymous

you look it where the cross at when you plotted it which corrdinates are the same

3. anonymous

its realted to streets

4. anonymous

Could I also make a table?

5. anonymous

yes

6. anonymous

but it takes longer

7. anonymous

do to tbles then see which corrdinates where the same from both eqautions

8. 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

9. anonymous

or do rise over run first you have to find the y intersept then rise 2 and run 1

10. anonymous

Okay so my equations are y=4x-3 and y=9x-13

11. 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 $(m _{2} \times x _{2}) + b _{2}= (m _{1} \times x _{1}) + b _{1}$

12. anonymous

and solve for x

13. 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

14. 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 $2= X$

15. 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

16. 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