Question 764604
Part 1:  For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario. 

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24 



2x + y = 11

2x + y - 2x = 11 - 2x

2x - 2x = 0

Therefore:

y = 11 - 2x



Substitute y = 11 - 2x into equation (2)



3x + 4y = 24

3x + 4(11 - 2x) = 24

3x + 44 - 8x = 24

3x - 8x = -5x

-5x + 44 = 24

-5x + 44 - 44 = 24 - 44

44 - 44 = 0

24 - 44 = -20

-5x = -20

x = 4



Substitute x = 4 into equation (1).


2x + y = 11

2(4) + y = 11

8 + y = 11

8 + y - 8 = 11 - 8

8 - 8 = 0

11 - 8 = 3

y = 3




Answer:

x = 4 and

y = 3







Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: lennoxobuong@yahoo.com