Question

Please help me! What is the solution set to the following system?
x+y=3
X^2+Y^2=9

Answer 1

how do you think you'll go about this? can you try substituting one variable in terms of the other?

Answer 2

i wanted to try substituting but i didnt think it would work because the answers here are like this (x,y) and (x,y). Its asking for two sets of answers

Answer 3

i know how to get the first set but then how would i start to get the second?

Answer 4

Think about it like this: when you use substitution for two-variable linear equations, you solve for only one variable. Then you substitute the value you found BACK into the equation to find the value of the other variable.

Answer 5

(0,-3),(3,0)
(0,3),(-3,0)
(0,3),(3,0)
(0,-3),(-3,0)
these are the answers. see what i mean?

Answer 6

I think its (0,3),(-3,0)

Answer 7

You're given the answers. Why not try to substitute these into the equations and see which ones are correct? ;P

Answer 8

Does (-3, 0) satisfy x + y = 3? See what I'm talking about?

Answer 9

I see what you are saying. I was so clueless. Thanks!

Answer 10

I think the only answer is (0,3), (-3,0)

Answer 11

yea. its the only one that works

Answer 12

Again, I ask: does (-3, 0) satisfy x + y = 3?

Answer 13

wait...no

Answer 14

Why/why not?

Answer 15

because -3+0 doesnt equal 3

Answer 16

Correct.

Answer 17

OHH. ITS (0,3), (3,0)

Answer 18

Amazing. Yeah

Answer 19

i've been up for 34 hours taking finals. sorry

Answer 20

I neede to get this done before i took my math final

Answer 21

neded*

Answer 22

needed* geez