Hello, Everyone! How R **U**?

I want to give **U** a math problem, high school algebra or college freshman algera level.

Let x and y be two unknown variables.

Question : If

x+y=7

x-y=3,

then,

what is x and y?

Solution:

x=___

y=___

Hint: solve it as system of linear equations.

If **U** have forgotten about this level of math, please think about the question by guess: how many ways to have two numbers sum as 7, then find the pair of numbers with difference as 3.

for example, 7=7+0=6+1=5+2=4+3=3+4=2+5=1+6=0+7, I have told you 8 ways of sum to 7.

Solutions: x=5, y=2.

check:

5+2=7,

5-2=3. Thus solution is correct.

There are many ways of doing it, Doraz commented exactly how to solve it graphically, mathematically, or using methods of substitutions, cancellations. We can also solve it using graphing Ti-83 calculator…Any way. I give this question which is mediate hard, thus I prefer not to make it too abstract to majority readers. Let me know if you have questions!

Outstanding job, everyone who joined the fun! **15 of U** did wonderfully in math computation on this one.

### Like this:

Like Loading...

*Related*

x=5 and y=2

Q: what is the sum of all the whole numbers from 1 to 100?

A: well, there are 50 pairs in that range, and each pair = 101 (for example 1+100=101, 2+99=101, 3+98=101, etc.) So, the answer is: 50 pairs x 101=5050!

thanks Jingle, talk to U later!

x = 5

y = 2

hehehe welcome back to math day lol, x=5 y=2 now that’s not too hard for billy boy lol, have a great sunshine day xx

Dearest Jingle,

So happy to see you up today!

x+y=7

x-y=3,

then,

what is x and y?

x is 5

and

y is 2

I think I can do Maths now.lol

Have you a gorgeous day, love!

hugs

shakira

x=5, y=2

If you can believe it … We are now teaching an algebraic based math series and that would be one of our problems in … First Grade!

Hard to teach 7 year old this concept … Hard for them to learn!

x is 5 y is 2… right? *wink*

ow…my head hurts….lol.

hope you are having a great day jingle!

ok Jingle my work is as fallows

x+y=7

x-y=3

Lets start by adding x to both sides of the second equation.

this means x=y+3

after that you substitute this equation for y in the first equation

this means that 2y+3=7

from their you subtract 3 from both sides and devide by 2 giving the answer

x=5

y=2

great problem Jingle. Thats what I’m doing in my math class.

Ha! I think I got it! x=5 and y=2

I thought that my bedrest had completely melted my brain, but apparently there is something small left in there, doing some work. 🙂

Wow! You are one of those brilliant math-minded beings!!! I bow to You and smile and say my brain will explode if I dive into this. I’ve got a circus mind and numbers never got the memo to come on over and join in! I SO admire people like You! Thank YOu for the kindness You left in my room!!! Cheers and Namaste. 🙂

Hee hee, my roommate is a math major and I just asked her what the answer was…. 🙂

Hi Jingle,

Are you kidding with this???? LOL! This is one of the reasons why I chose art school!! I look at equations like this and I want to draw beautiful, fluid, calligraphic lines all over them. What is the answer, like a 2 or something? (Not that I tried to figure it out!!!) Love, Lisa

I had to ask my best friend who is a math head. This just makes my brain bleed. She is figuring out now. I’ll keep the answer till tomorrow.

The system has a unique solution:

x = 5

y = 2

It can be found various ways

-The point at which the two lines intersect

-Creating an augmented matrix and using Gaussian elimination (row echelon form) or Gauss-Jordan elimination (reduced row echelon form)

– Creating a Matrix A=[1,1;1-1], vector column b [7;3], then taking the inverse of A and multiplying it by vector column b.

Note: to find the inverse of a matrix, take (1/determinant(A))*adjoint(A).

Lol, Jingle…. I am so sorry that I cannot play.

One of the blogger I know, just passed away.

I just knew, will check with you when you post the answer.

hugs

shakira

Try this one, it’s also intermediate algebra:

Determine the solution set to

5x-6y+z = 4

2x-3y+z = 1

4x-3y-z = 5

The answer is:

x=5 and y=2

x+y=7

or, x=7-y

Putting the value of x in the equation x-y=3 we get:

7-y-y=3

or, 7-2y=3

or,-2y=-3-7

or, -2y=-4

or, y=2

hence x=5 and y=2

Am i r8 Jingle?

x=5

y=2 😛

x=5, y=2 🙂

x=5, y=2 and Doraz’s is x=1, y=0, z=-1 Fun! My dad would be proud of me. 😀

Yousei Hime:

You specified one of the infinite solutions.

The correct answer is actually:

S = {(2+t, 1+t, t) : t∈ℝ}

Do you want me to work it out?

I thought you were doing algrebra, not calculus or differential and stuff. Ugh. Sure, ‘splain it to me. I miss my dad enough to listen to another lesson. (He used to catch me on my way to watch a tv show and say, “Come here. Let me show this.” Of course, I missed the show.) 😀

Yousei,

I am impressed by your effort to do the extra math problem…

thumbs up!

😉

okay I am not one for Math. I finally got it in college and I look at this an I am like uh no way.. Have a great day.

Pengsan.Mine math are enam pening.

Lol…Jingle i loved this. Mathematic teaching life. THANK YOU for this post.

x=5

y=2

Now, I need a nap!

solution for the math problem is out!

thank U all for trying.

15 of U did absolutely wonderful and correctly…

amazing results!

😉

I really like this. I absolutely agree, the fire of creativity runs deep.

Nice piece.

That last comment was intended for the poem you posted before this. My apologies.

I am not a math fan, what so ever. My brain does not work that way.

Happy Wednesday, almost Thursday to you!