Question

what is the value of the y variable in the solution to the following system of equations. 3x-6y=12 -2x+3y=6 answers are -14 24 14 -24

Answer 1

14.

Answer 2

How is it 14?

Answer 3

sorry, -14.

Answer 4

how is it -14?

Answer 5

eliminate x from the above.

Answer 6

I don't get it?

Answer 7

3x-6y=12
-2x+3y=6

in this case you'd want to know what's "y"
so, you eliminate the other variable, "x", so "y" is isolated
you change the top and/or bottom equation by usually multiplying for something that'd give you 2 opposites for the variable you'd want eliminated
so if you had

3x-6y=12
how to eliminate "3x"?
well "3x - 3x =0", so with a -3x

something like
3x-6y=12
-3x -whatever

gives

3x-6y=12
-3x-whatever
--------------
0 - whatever

Answer 8

lemme do yours

Answer 9

that you will get -14 right

Answer 10

3x -6y = 12 times 2
-2x +3y = 6 times 3

$$
\begin{matrix}
\color{red}{6x} &-12y & = &24 & \times 2\\
\color{red}{-6x} &+9y & = & 18 &\times 3\\
\hline\\
0 & -3y & = & 42
\end{matrix}
$$

Answer 11

see the elimination?

Answer 12

yea but what will the answer be then

Answer 13

$$
\begin{matrix}
\color{red}{6x} &-12y & = &24 & \times 2\\
\color{red}{-6x} &+9y & = & 18 &\times 3\\
\hline\\
0 & -3y & = & 42
\end{matrix}\\
\\
\color{blue}{-3y = 42} \implies \color{blue}{y = \cfrac{42}{-3}}
$$

Answer 14

I see it that help me so much thank you

Answer 15

yw

Answer 16

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

2

-1

1

-2
can you help with this one too lol

Answer 17

well, you want "x", so eliminate "y" off
2x + 3y = 1
3x - 4y = 10

Answer 18

3x-6y=12
3x+6*2-x=4
3x+12-x=4
2x+12=4
x+12=4/2
x=2-12
x=-14

Answer 19

what will you do next?

Answer 20

working on it...lol

Answer 21

heheh

Answer 22

vaibhavm thank you lol

Answer 23

well, you want "x", so eliminate "y" off
2x + 3y = 1
3x - 4y = 10 what do we do next lol. I am really bad at math.

Answer 24

well, we take a peek at the "y's"

Answer 25

2x + 3y = 1
3x - 4y = 10

hmmmm, we have
+3y and
-4y

so, how can we get those 2 guys to be the same number, different sign, that is
if one is
12 the other is
-12

12 -12 =0, so eliminated

Answer 26

I get that.

Answer 27

what do we need to do next

Answer 28

so, what number would you multiply +3x to get a \(\color{blue}{\text{number in positive?}}\)
and what number would you multiply -4y to get the \(\color{red}{\text{number in negative?}}\)

Answer 29

I don't know :(

Answer 30

$$
\begin{matrix}
2x& + 3y &= &1 & \times 4 \\
3x &- 4y &= &10 & \times 3\\
\end{matrix}
\implies
\begin{matrix}
8x& \color{red}{+ 12y} &= &4 & \\
9x &\color{red}{- 12y} &= &30 &\\
\hline\\
? & ? & & ?
\end{matrix}\\
$$

Answer 31

so, what values would that give you?

Answer 32

I think it would be the 8x i don't know but +12y is 0 and 4 I don't know sorry
9x -12y 30

Answer 33

well, you ADD THEM vertically

Answer 34

so it be 17 0 34 right

Answer 35

17x + 0 = 34, yes,
now just solve for "x" :)

Answer 36

or 17x = 34

Answer 37

what happened to your first question.....did we get an answer?

Answer 38

lol

Answer 39

yes lol its -14

Answer 40

coool...... :)

Answer 41

17x + 0 = 34, yes,
now just solve for "x" :)
or 17x = 34 how do i solve that lol.

Answer 42

vaibhavm yups lol

Answer 43

X=2

Answer 44

how did you get 2

Answer 45

17x=34
x=34/17
x=2

Answer 46

ahem you divide both sides by 17

Answer 47

I see now. thank you

Answer 48

$$
17x =34 \implies \cfrac{17x}{17} = \cfrac{34}{17}
$$

Answer 49

lol.....you are welcome.....you can give me a medal......lol

Answer 50

lol but i need more help lol

Answer 51

lol....i m there....pleasure.

Answer 52

The graph below is represented by which system of inequalities?



-x + 3y < 9
y > -2x + 1

-x + 3y 9
y > -2x + 1

-x + 3y < 9
y -2x + 1

None of these systems represent the graph shown.

see how do i do this lol

Answer 53

Lol ok ;)

Answer 54

lol........ i quit.....hahahahaha....lol

Answer 55

Nooooooooooooooooooooooooooo lol why you don't want to help me :(

Answer 56

lol

Answer 57

how do i do this

The graph below is represented by which system of inequalities?



-x + 3y < 9
y > -2x + 1

-x + 3y 9
y > -2x + 1

-x + 3y < 9
y -2x + 1

None of these systems represent the graph shown.

Answer 58

lol......its too complicated....lol

Answer 59

lol yea it is

Answer 60

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

2x + y = 8
-x - 3y = -12

3y + 12

-3y + 12

3y - 12

-3y - 12
do you know how do this lol