Question

What is one of the solutions to the following system of equations?

y2 + x2 = 53
y − x = 5

Answer 1

Have you considered substituting?

y = x + 5 Go!

Answer 2

i dont get ti @tkhunny

Answer 3

he said you plug y =x +5 to the first equation to solve for x

Answer 4

is it -7

Answer 5

show your work, please

Answer 6

No, "it" is NOT "-7".

1) It doesn't mean anything.
2) -7 what?
3) Show your work.

Did you do the substitution? Let's see it.

Answer 7

y^2 + x^2 = 53
(x+5)^2 + x^2 = 53
x^2 + 5x + 5x + 25 + x^2 = 53
2x^2 + 10x + 25 = 53
2x^2 + 10x - 28 = 0
x^2 + 5x - 14 = 0
(x+7)(x-2) = 0

Answer 8

and it iz -7 that wat i gettin

Answer 9

No, "it" is still not "-7". You must use language that can be understood.

You have two solutions for x. x = -7 or x = 2 <== See how that makes sense and says something?

However, you need a "solution to the system". A value for x doesn't cut it. What else do you need?

Answer 10

i dont get it math iz confusing

Answer 11

Sorry. I could accept your saying "I don't get it" once. But if you truly want to learn this material, you'll need to become involved: ask questions, try working the problem yourself (showing your work)... do something.

You are given a set of equations:

y2 + x2 =53\[y^2+x^2=53~and~y-x=5,\]
y − x = 5

...and you need to find a point (or perhaps two points) whose x- and y-coordinates satisfy BOTH equations.

Note that y-x=5 is easily solved for y; all we have to do is to add x to both sides of this equation. Why would we do this? To be able to eliminate y in the other equation.

1) Please solve y-x=5 for y, now. Type your answer here.
2) Once you have that, please substitute (x+5) for y in the other equation. type your result here.

Answer 12

I think if you would try to be a little more formal, use actual words, formulate actual sentences, you would find mathematics substantially less confusing.