90 POINTS! HELP PLEASE!!!! I need answers to a-e thank you.

For the holiday season, Brookfield Zoo will be setting up for ​Holiday Magic, ​its annual ​lights festival. ​Bob's job is to set up lights ​on various bushes and trees. On Monday, Bob used ​44 strands of light to decorate 2 bushes and 3 trees. On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees. ​Assuming all bushes and all trees are decorated with the same ​amount of lights, how many strands of light did Bob use on each?
Let x = strands of lights on bushes.
​Let y = strands of lights on trees.

a) Create Equation 1, which represents the amount of lights used on Monday:
​Equation 1:

​b) Create Equation 2, which represents the amount of lights used on Tuesday:
​Equation 2:

​c) Solve for x. x =

​d) Use your x-value to solve for y. y =

e) Bob used _blank_ strands of lights for each bush, and _blank_ strands of lights for each tree.
(I think the answer is either 22 strands of lights for each bush or 22 strands of lights for each tree but I don't know if 22 is right and if its right which one it goes too, tree or bush?)

Respuesta :

Answer:

(a)Equation representing amount of lights on Monday is 2 x  + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x  + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

    and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

​Let y = strands of lights on trees.

Bob used ​44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes  = 2x

and  the number of light on 3 tress  = 3 y

2 x  + 3 y = 44

Also, On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes  = 5x

and  the number of light on 3 tress  = 3 y

5 x  + 3 y = 56

Now, solving the system of equations:

2 x  + 3 y = 44

5 x  + 3 y = 56

Subtract equation (2) from (1), we get

2 x  + 3 y  - (5 x  + 3 y)  = 44   - 56

or, 2x - 5x = - 12

or, 3x  =  12 ⇒ x =  12/3  = 4    or x  = 4

Using x  = 4 in 2x + 3y = 44

2(4)  + 3y  =  44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y  = 12

So, the value of x  = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

  1. Equation 1 is 2x + 3y = 44.
  2. Equation 2 is 5x + 3y = 56.
  3. The value of x is 4.
  4. The value of x is 12.
  5. Bob used 4 strands of lights for each bush, and 12 strands of lights for each tree.

What is the value of x and y?

Equation 1 and equation 2 would be solved together in order to determine the required values.

2x + 3y = 44 equation 1

5x + 3y = 56 equation 2

In order to determine the value of x, subtract equation 1 from equation 2

3x = 12

x = 4.

Substitute for x in equation 1

2(4) + 3y = 44

8 + 3y = 44

3y = 44 - 8

3y = 36

y = 36 / 3

y = 12

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552