Question

I NEED HELP STUCK!!

Answer 1

Two bees have found a food source. The first bee’s path to the hive follows the line\[y=\frac{ 4 }{ 5 }x\] . The second bee’s path follows the line\[y=-2x+3\] . Their paths cross at the hive. Use substitution to solve the problem.
What are the coordinates of the hive?

Answer 2

because both terms in x are equal to y we can equate them so
(4/5)x = -2x + 3
multiply through by 5:
4x = -10x + 15
solve this for x

this will give you the x coordinate

find the y coordinate by plugging the value of x coordinate just found into
y = (4/5) x

Answer 3

how do i do the "solve this for x " part im seriously stuck
???????????/

Answer 4

add 10x to both sides of the equation

4x = -10x + 15
+10x +10x

14x = 15
x = 15/14 or 1 1/14

Answer 5

to find y:
y = 15/14 * 4/5 = 3*4/14 = 12/14 or 6/7

Answer 6

the coordinates of the hive = (15/14, 6/7)

Answer 7

OMG thank you so much, you just saved me from painful hours