Question

HELP!!!!!! Solve each system using substitution. Check your solution.
3x-6y=30
y=-6x+34

Answer 1

substitution basically means that you are putting something in the place of something else in the case we are going to substitute y= -6x + 34 into 3x - 6y = 30
do you understand what I am saying

Answer 2

yes i do. this is what i have so far:

3x-6(-6x+34)=30

Answer 3

but when i simplified it further, i got a really big decimal.

Answer 4

so lets just look at this part first
-6(-6x+34)
okay

Answer 5

do you know how to do this?

Answer 6

36x - 204

Answer 7

i think.

Answer 8

right
now lets place it back into the rest of it
3x + 36x - 204 = 30

Answer 9

so now you do 3x + 36x =

Answer 10

39x

Answer 11

so now we have
39x - 204 = 30
so now add 204 to both sides

Answer 12

39x=234

Answer 13

now divide by 39

Answer 14

6.

Answer 15

right

Answer 16

omg, i dunno what i did wrong. thank yu so much.

Answer 17

your welcome

Answer 18

ok, so that's just the x coordinate. what about y?

Answer 19

oh I almost forgot

Answer 20

yeah i forgot too for a second.

Answer 21

we take 6 and place it into y=-6x+34

Answer 22

ohh so we just substitute it all the way and solve for y. i think i got this. i'll ask yu the answer in a second.

Answer 23

just plus 6 in x

Answer 24

yeah.

Answer 25

y=-2?

Answer 26

right

Answer 27

awesome. thank yu :D

Answer 28

welcome