Matt and trey are remodeling their gardens. matt purchased 8 ferns and 1 rosebush for $35. trey purchased 4 ferns and 3 rosebushes for $25. determine the price of each plant.

each fern cost $4

Each rose bush cost $3

Step-by-step explanation:

Let x represent the cost of one fern

Let y represent the cost of one rosebush.

Matt purchased 8 ferns and 1 rosebush for $35. This is expressed as

8x + y = 35 - - - - - - - - - -1

Trey purchased 4 ferns and 3 rosebushes for $25. This is expressed as

4x + 3y = 25 - - - - - - - - - 2

We will solve equation 1 and equation 2 with the elimination method. To eliminate y, Multiply equation 1 by 3 and equation 2 by 1. It becomes

24x + 3y = 105

4x + 3y = 25

Subtracting both equations,

20x = 80

x = 80/20 = 4

Substituting x = 4 into equation 1, it becomes

8×4+ y = 35

y = 35 - 32

y = 3

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

the answer is 25 because they're both the same