Question

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x - y = 5
2x + y = 1

{}
1 solution
infinite

Answer 1

you want to go ahead and solve it?

Answer 2

What?

Answer 3

nvm

Answer 4

I don't know how to solve it lol. That's why I posted the question

Answer 5

@satellite73

Answer 6

the question i asked was "do you want to solve it"
they are not actually asking for you to solve it, they are only asking how many solutions are there?
but if we go ahead and solve it, then we will know

Answer 7

Oh okay. But how do I solve it? Lol I've never done this kinda stuff before

Answer 8

\[x-y=5\\
2x+y=1\] add them up in a column, what do you get?

Answer 9

What?

Answer 10

ok lets go slow
what is \(5+1\)?

Answer 11

6

Answer 12

ok so that is on the right side of the equal signs
what is \(x+2x\)?

Answer 13

3x

Answer 14

ok and what is \(-y+y\)?

Answer 15

Nothing?

Answer 16

yes, or as we say in math class "zero"
so you have
\[3x=6\] and you can solve that for \(x\) in your head

Answer 17

x=2

Answer 18

yes

Answer 19

so there is one solution

Answer 20

Thank you!