Question

THIS SHOULD BE SO SIMPLE FOR ME BUT ITS NOT

MEDAL+FAN

What is the solution to the system of equations?

x+y=5

x-2y=2

(___), (___)

Answer 1

I think the answer is no solution.

Answer 2

its not multiple choice it only has a place for me to type the solution. :/

Answer 3

why don't you multiply the bottom equation by -1
(that means both sides and *every* term by -1)
then add the two equations
what do you get ?

Answer 4

k hold on

Answer 5

i'm not sure...

Answer 6

multiply the bottom equation by -1
what do you get ?

Answer 7

-x-(-2y)=-2?

Answer 8

yes, and -(-2y) is +2y, so you can write it as
-x+2y= -2

now add the top equation:
x+ y=5
-x+2y= -2

can you add them ?

Answer 9

just add 5 and -2?

Answer 10

yes, on the right side
but also add the left sides
and put an = sign in

Answer 11

3y=3?

Answer 12

yes

because x+-x + y + 2y simplifies to 0+3y or 3y on the left side, and 5-2 =3 on the right side

3y=3
now divide both sides by 3

Answer 13

1y=1?

Answer 14

or y=1

Answer 15

yes, but people usually don't bother to write 1y. they say y
y=1

now use either equation (I choose the simplest one)
x+y=5
put in 1 instead of y:
x+1= 5
now add -1 to both sides and simplify

Answer 16

x=4?

Answer 17

yes, so the solution is x=4, y=1 or as an (x,y) pair, the answer is (4,1)

Answer 18

thank you so much!! I have one more question like this one can you help me?

Answer 19

if you type fast

Answer 20

ok lol ill open another question