Question

Solve the following system of equations:
x − 2y = 6
2x − 4y = 10

Answer 1

do you move the x to the other side first or do you just solve

Answer 2

Well have you heard of substitution or elimination?

Answer 3

yes

Answer 4

Which process do you prefer?

Answer 5

substitution

Answer 6

so the equation would look like this
2y=x-6

Answer 7

What variable do you want to use?

Answer 8

x and y

Answer 9

Okay pick one. :)

Answer 10

x-2y=6

Answer 11

Lol tyler. I'm asking you to pick a variable that we can solve for in order to substitute.

Answer 12

oh lol x

Answer 13

ahah alrighty then.

Answer 14

x − 2y = 6
Solve that equation for x now. :)

Answer 15

so you would substitute 0 for x and the equation
(0)-2y=6

Answer 16

nooooooooooooo

Answer 17

where have you go that my friend

Answer 18

Solve for x :)

Answer 19

oops

Answer 20

x-2(0)=6

Answer 21

x=6

Answer 22

.uhm.
We need to isolate x
x − 2y = 6
Add 2y to both sides in order to make x be on its own.
Whats x= now?

Answer 23

x=2y+6

Answer 24

YAY! :D

Answer 25

Okay now let's look at the second equation.

Answer 26

2x − 4y = 10

Answer 27

ok

Answer 28

We know that x=2y+6
Now plug that value for x into this equation
2x − 4y = 10

Answer 29

ok so 2(2y+6)-4y=10

Answer 30

4y+12-4y=10

Answer 31

8y+12=10
8y=-2

Answer 32

Wait a minute..

Answer 33

2(2y+6)-4y=10
4y+12-4y=10
4y-4y=0
12=10
Dang we did something wrong.

Answer 34

yeah maybe we entered the wrong equation

Answer 35

uhm lets try solving for x in the bottom equation?
2x-4y=10

Answer 36

actually don't...it won't work again.

Answer 37

Are you okay if we try elimination?

Answer 38

yeah sure

Answer 39

Yay.
x − 2y = 6
2x − 4y = 10
Okay so let's try to eliminate x, we will multiply the top equation by -2, Could you do that for me please?

Answer 40

yay

Answer 41

you multiply everthing by two or what

Answer 42

yes by -2

Answer 43

ok so -2x-(-4)y=-20

Answer 44

what is 6 x -2?

Answer 45

We just wanted to multiply x-2y=6
You should have gotten
(-2)x-(-2)(2)y=6(-2)

Answer 46

-2x-(-4)y=-12

Answer 47

okay what is a negative times a negative

Answer 48

positive

Answer 49

so its a positive 4y

Answer 50

yes

Answer 51

now rewrite the equation we have.

Answer 52

-2x+4y=-12

Answer 53

Alright turn up.

Answer 54

yay

Answer 55

So lets rewrite the whole thing.
-2x+4y=-12
2x − 4y = 10

Now, solve it out. As you can see...both variables cancel out...
Did you post the right question?
Also, the answer because we cannot solve it is....
No solution.

Answer 56

?

Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

Answer 57

Woah there amigo, what is this?

Answer 58

the answers

Answer 59

What?
Those look like dif questions,
I am confused.

Answer 60

ok look at this

Answer 61

A system of equations is shown below:

6x − 2y = 3 (equation 1)
5x + 3y = 4 (equation 2)

A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

Answer 62

thats the whole question

Answer 63

@TheSmartOne Will try to help you for a bit, I've got to finish something else. Hope I was some sort of help. Sorry.

Answer 64

your fine you were help @karatechopper

Answer 65

which question are we working on?

Answer 66

the one up above

Answer 67

but ill show you it just in case you didnt see it

Answer 68

A system of equations is shown below:

6x − 2y = 3 (equation 1)
5x + 3y = 4 (equation 2)

A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

Answer 69

It's an interesting problem, hmmmm.

Answer 70

can you add these 2 equations and tell me what you get:

6x − 2y = 3
5x + 3y = 4

Answer 71

ok

Answer 72

so basically, what is

6x + 5x -2y + 3y = 3 + 4

Answer 73

yeah sorry i was doing something else

Answer 74

11x-y=7

Answer 75

and which answer choice has 11x-y=7 ?

Answer 76

the third and the fourth one

Answer 77

C and D

Answer 78

C has 11x \(\bf\color{red}{−}\) y = 7

D has 11x \(\bf \color{red}{+}\) y = 7

Answer 79

so the answer is C

Answer 80

@TheSmartOne

Answer 81

correct

Answer 82

awesome thank you

Answer 83

np :)