Question

A farmer is tracking two wild honey bees in his field. He maps the first bee's path back to the hive on the line y=9/7x. The second bee's path follows the line y=-3x+12. Their paths cross at the hive. At what coordinates will the farmer find the hive?

Answer 1

So basically solve the system of equations

y=9/7x
y=-3x+12

you can use substitution, take the expression that y equals in the first equation and plug that into the second equation for y

(9/7)x=-3x+12

now can you solve for x

Answer 2

But I need to use the combination(elimination) method

Answer 3

Okay, multiply the second equation by -1 so that the ys will cancel

y=(9/7)x
-y=3x-12

now add them together

Answer 4

Alright, thanks! (:

Answer 5

Whataya get?

Answer 6

Does x=-15/42?

Answer 7

No =p

What do you get when you add the equations together?

Answer 8

30/7x=-12

Answer 9

Eh close

0=(30/7)x-12

keep things on whatever side of the equation they were on

Answer 10

12=30/7x
x=84/30x?

Answer 11

whats 12/(30/7)?

Answer 12

Isn't it 84/30 because you have to do the reciprocal/

Answer 13

yep and that simplifies to 14/5

now that you know x plug it into one of the original equations to get y

Answer 14

Whats -12+12/5? lol

Answer 15

Where did that come from

plug it in

y=(9/7)*(14/5)
y=?

Answer 16

y=126/35 simplifies to 3.6?

Answer 17

Yep thats right

Answer 18

so the coordinate is

(14/5,18/5)

Answer 19

Omg thank you soo much! (:

Answer 20

You're welcome =D