Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
x + y = 10

x – y = 2

Answer 1

would this be
8+2=10
10-8=2

Answer 2

add the two equations to each other...

Answer 3

x+y=12 is this right

Answer 4

x+x =?
y-y =?

Answer 5

8+10=18
2-8=-6

Answer 6

x + y =10
+ x - y = 2
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Answer 7

i'm confused

Answer 8

ask a question.

Answer 9

i don't understand what to do after this

Answer 10

add them.
x+x = ?
y-y =?
10+2 =?

Answer 11

the last part is 12 but i dont know what to put in the x and y spot

Answer 12

does it all have to equal 12

Answer 13

what if x was 4? what would x+x equal?

Answer 14

8

Answer 15

yes
what if x was 3? what would x+x equal?

Answer 16

6

Answer 17

see the idea? we don;t have to know what x is.. adding x to x is 2x no matter whether x is 3 or 4 or 1000

Answer 18

hello?

Answer 19

ok thanks so the answer is 2x and -2y

Answer 20

2x part is right
how about y -y?

Answer 21

would there be a y at all

Answer 22

no

Answer 23

so 2x=12 is all that is left
x=?

Answer 24

so the answer is 6

Answer 25

x=6 ... now use that value to go back and find y
6+y =10 y=?

Answer 26

so y would equal 4

Answer 27

yes.

Answer 28

thank you so much i love this website

Answer 29

so it would be no solutions right

Answer 30

because 6 and 4 are not equal

Answer 31

x=6 and y=4 is the answer