Question

I've tried solving this and everytime I get the wrong answer. can someone help me?
What is the value of the x variable in the solution to the following system of equations?

2x − y = 6
4x − 2y = 12

0

4

x can be any number as there are infinitely many solutions to the system.

There is no x value as there is no solution to the system.

Answer 1

use substitution or elimination.

Answer 2

I did and got the wrong answer

Answer 3

I got it all the way to 6x=-2y+36

Answer 4

@Jhannybean can you help me?

Answer 5

seems like it is infinite solutions.

Answer 6

thank you!

Answer 7

2x − y = 6
4x − 2y = 12

2 -1 6
4 -2 12

2 -1 6 2 -1 6
4 -2 12 -2r1+r2 0 0 0


solve 2 - 6 for y.

Answer 8

can you help me with this one?
What is the value of the y variable in the solution to the following system of equations?

3x − 6y = 3
7x − 5y = −11

−2

−3

x can be any number as there are infinitely many solutions to the system.

There is no x value as there is no solution to the system


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Answer 9

lets first do the augmented matric just get the coefficients and right hand side.

3 -6 3
7 -5 -11

with me so far?

Answer 10

yes, then what?

Answer 11

we try elimination. Lets try to get a 0 where the 7 is at.

3 -6 3 3 -6 3
7 -5 -11 -7/3 r1+r2 0 9 -18

If i did my calculations right. WIth me so far?

Answer 12

alright, yeah

Answer 13

3 -6 3 3 -6 3
7 -5 -11 -7/3 r1+r2 0 9 -18

now we try to make the 9 a 1 so

r2*1/9 =

3 -6 3
0 1 2

as you can see that in row 2 if we go back to an equation.

y=2 :D

Answer 14

so its -2?

Answer 15

2 :P silly

Answer 16

-2 :P sorry

Answer 17

forgot that it was -18 not just 18 :P good catch smarty :D

Answer 18

thank you :)
what about another one? :)

Answer 19

sure :D

Answer 20

oh btw it has one unique solution :D

Answer 21

What is the value of the y variable in the solution to the following system of equations?

3x + y = 14
–3x + 2y = 1

5

3

y can be any number as there are infinitely many solutions to the system.

There is no y value as there is no solution to the system.

Answer 22

do the augmented matrix for me first :) see if you know that.

Answer 23

I have no idea what that is

Answer 24

I think they want you to add the 2 equations

Answer 25

getting rid of the variables. Just focus on numbers

Answer 26

3x + y = 14
–3x + 2y = 1

is

3 1 14
-3 2 1

Answer 27

yeah they want me to solve for the first equation then plug that one into the second one and solve for that

Answer 28

try adding the 2 equations.

Answer 29

its 5, that was easy lol

Answer 30

yup lol

Answer 31

thank you!