Question

Solve each system of equations by using substitution:
#17 is no solution and I need the work and steps shown of how it's a no solution.

17. 6x - 3y = 12
2x = 8 - y

Answer 1

@ArkGoLucky Do you have the problem/answers that went with this

Answer 2

You already know how to do this don't you?

Answer 3

learner

Answer 4

sorry improper grammar.

Answer 5

what do you mean???

Answer 6

is there supposed to be a y somewhere in the second equation?

Answer 7

there

Answer 8

where lol

Answer 9

I changed it

Answer 10

okay now solve for a variable, preferably one without a coefficient.
In this case, you would probably want to solve for y in the second equation.

Answer 11

@ArkGoLucky Would it look like this: -y = -2x + 8 ----> y = 2x - 8

Answer 12

actually, it would look like y=-2x+8
2x=8-y
2x-8=-y
-2x+8=y

Answer 13

show your work on how you got it @ArkGoLucky

Answer 14

that's my work. that's exactly how I got it

Answer 15

@ArkGoLucky do I subtract 8 to get -y

Answer 16

yeah

Answer 17

about

Answer 18

@ArkGoLucky How is it no solution

Answer 19

factor out 3 from first equation 6x-3y=12
what do u get ?

Answer 20

I get 6 = 8 - y

Answer 21

is that right

Answer 22

nopes,
3(2x-y)=12
so
2x-y=12/3
2x-y=4
got this ?

Answer 23

uh???

Answer 24

I started with the bottom equation

Answer 25

but bottom equation does not have 6, .....where did u get 6 from?

Answer 26

I got 6 from, x = 3 and enter it into bottom equation

Answer 27

but why did u put x=3 ?

Answer 28

so now put y into the other equation and solve for x
then you will see why there is not solution

Answer 29

I got x = 3 when I substituted -2x + 8 into top equation

Answer 30

6x-3(-2x+8)=12
like this ?

Answer 31

yes

Answer 32

6x +6x -24 =12
12x=12+24
x=3
put x=3 in
2x=8-y
what do u get

Answer 33

6 = 8 - y

Answer 34

so y=?

Answer 35

what do u subtract from 8 to get 6 ?

Answer 36

???

Answer 37

6=8-y
subtract 8 from both sides......

Answer 38

-2 = -y

Answer 39

so y=?

Answer 40

2

Answer 41

so x=3,y=2
it definitely has a solution

Answer 42

@ArkGoLucky How is it no solution when there's a point (3, 2)

Answer 43

@hartnn The book says it's a no solution

Answer 44

either verify the question, or verify that u are seeing correct answer