# Thread: Math puzzle: (X.6)(y.4) = 288, X^2-y^2 = -5, X.7-3.x = 19, (Y-x)/(x-y)= -1

1. Originally Posted by Subhotosh Khan
These equations are inconsistent - there is no solution to those in the domain of numbers.
IMG_1209.jpgIMG_1208.jpg

2. Originally Posted by Denis
Equation#1 was manually changed to equal "288".
Are you sure that's ok?
Yes, that's what the teacher said(change it to 288).

3. It's not quite redundant. It adds $\text{Tria}\text{ngle} \ne \text{Square}$.

4. I figured out the solution by graphing, there is no solution to these set of equations.

5. Originally Posted by Ramyana
1. 6x * 4y = 288

2. x^2 - y^2 = 93457/5776

3. 7x - 3x = 19

4. (y - x) / (x - y) = -1
Now, it has a solution.

6. Originally Posted by Ramyana
1. 6x * 4y = 288

2. x^2 - y^2 = 143

3. 7x - 3x =
48

4. (y - x) / (x - y) = -1
This has a nicer solution.

We can make as many solvable systems as we like, by changing the right-hand side of the second and third equations. Pick a number for x (not zero).

x^2 - y^2 = (x^4 - 144)/x^2

7x - 3x = 4x

The solution will be:

x = x (the number you picked)

y = 12/x

7. Originally Posted by mmm4444bot
This has a nicer solution.

We can make as many solvable systems as we like, by changing the right-hand side of the second and third equations. Pick a number for x (not zero).

x^2 - y^2 = (x^4 - 144)/x^2

7x - 3x = 4x

The solution will be:

x = x (the number you picked)

y = 12/x
nice, but according to her, we are not allowed to change stuff.

8. Originally Posted by Ramyana
we are not allowed to change [flawed materials].
Okay -- she's the boss!

In this case, the best your kid can do is say, "no solution", and turn in the work with graphs.

9. Originally Posted by mmm4444bot
Okay -- she's the boss!

In this case, the best your kid can do is say, "no solution", and turn in the work with graphs.
That's what I did. It's due tomorrow. Thank you very much for all your help.