Question

HELP!!! MEDAL TO WHOEVER ANSWERS THIS QUESTION!!!
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

Answer 1

Use elimination or substitution. Though elimination would be easier.

Answer 2

(3x − 6y = 3)(times)7
(7x − 5y = −11)(times)-3
~~~~~~~~~~~~~~~~
21x - 42y = 21
-21x + 15y = 33
Add.
-27y = 54
Divide
y=-2
~~~~~~~~~~~~~~~
Substitute in y
3x − 6(-2) = 3
3x + 12 = 3
Subtract
3x = -9
Divide
x = -3

Answer 3

THANK YOU SOOO MUCH!!! @RoseDryer can u pls help me with 1 more question??

Answer 4

Yepp.

Answer 5

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 6

@patty_emily just follow the method that @RoseDryer used in the previous question. You know a user can't just give out the answer(s).

Answer 7

I know its just i still dont get it and i really need to do this @some_someone

Answer 8

well if you don't get it; you can ask question(s). U can't just ask for the answer.

Answer 9

(2x − y = 6)(times)-2
-4x +2y = -12
4x − 2y = 12
If we add there would be no solution because everything cancels out.
Well the reason I multiply the equation is to get the two equations to cancel out a variable. So when you have
2x + 2y = 4
and
2x -4y = 8
To get rid of y and solve for x you would first multiply the first equation by 2 to get
4x +4y = 16
if you add the two equations together
4x + 4y = 16
2x - 4y = 8
you get 6x = 24
Because + 4y + (-4y) = 0

Answer 10

Do you understand better now?

Answer 11

Here this might help too
http://www.mathsteacher.com.au/year10/ch04_simultaneous/03_elimination_method/elim.htm It shows/ explains how to do it.