Question

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 = 10
3x + 4y = 25

Answer 1

@godgavemeyou

Answer 2

http://openstudy.com/study#/updates/4ecec5b2e4b04e045af19e48
here gtg

Answer 3

I have 11 DVD's in total
I have got some DVD's from Tom and twice as many from Bob.
How many DVD's did Tom and Bob give me?

Or

I have 24 DVD's in total
I have got some DVD's from 3 times as much from Tom and four times as much from Bob.
How many DVD's did Tom and Bob give me?


With this example we can use the two variables for the two friends

x = Bob
y = Tom

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

to solve this we can use the process of elimination

in order to use elimination we need to make one of the variables the same value on both equations through multiplication
We can choose to get Y on its own and to do that we need to cancel out X
so we do

2x + y = 11 (multiply by 3)
3x + 4y = 24 (multiply by 2)

6x + 3y = 33
6x + 8y = 48

Now we have the same value for x in both equations all we need to do is minues the two equations from eachother.
So we get

5y = 15

we divide both sides by 5 in order to get Y by it self and making Y the subject
With this we can solve what Y is

5y / 5 = 15 / 5

so we will get

y = 3

now we know the value of Y
we can use this value to work out X by using this value in any of the two formulas

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

we will choose to use the value in the first equation (although you can also choose to use it in the second if you want)
so we will get

2x + 3 = 11

we need to rearrange this formula to get the variables on one side and numbers on the other (remember when bringing a number to the other side will change its value e.g. bringing 3 to the other side will give you -3)

so we will get

2x = 11 - 3

2x = 8

now we divde both sides by 2 to get X on its own and making X the subject

2x / 2 = 8 / 2

so we will get

x = 4

place these values in any of the equations to check the answer is correct
I will use the second equation to check (although you can also use the first just to double check)

so we know x = 4 and y = 3

the second equation is
3x + 4y = 24

so we will get

3(4) + 4(3) = 24

12 + 12 = 24

Answer 4

can u put that a little more simple for me?

Answer 5

because we have to use are own senario

Answer 6

just reright it but with a diffrent senario @godgavemeyou