Question

which ordered pair is a solution to the system of equations?
x+y=3
2x+2y=6

Answer 1

Hi there!
Any ideas on where to start?

Answer 2

umm i dont know exactly what to do

Answer 3

Well we need to find the value of x and y
so...
x+y=3
Can you attempt to isolate x? Tell me what equation you get. ^_^

Answer 4

subtract y from both sides
to get x=3y

Answer 5

x= 3-y i mean sorry

Answer 6

Good! :)
Now we have 2 equations
x=3-y <--equation 1
2x+2y=6 <---equation 2
Take e1 since we know the value of x and substitute it into equation2
\[\huge~\rm~\bf~ 2(\color{purple}{3-y})+2y=6\]

Answer 7

do i substitue it in for x or y?

Answer 8

I plugged it in for you, you need to solve for y

Answer 9

ok so do i do the distributive prperty first

Answer 10

Yes

Answer 11

6-2y+2y=6

Answer 12

and then 2y + 2y = 4y and then 6-4y= 6

Answer 13

Wait -2+2=?

Answer 14

ooo
my bad, so is there just on y or no y's at all

Answer 15

one y*

Answer 16

would it be 6-y = 6

Answer 17

It would cancel out
(2)(−y)+(2)(3)+2y=6(Distribute)
−2y+6+2y=6
-2y+2y=0
6=6

Answer 18

We cannot solve from here. So our answer would be....?

Answer 19

infinite?

Answer 20

Perfect! :D

Answer 21

omg thank you so much! can tag you in some more questions later?

Answer 22

Of course you may ^_^
yw ^.^