Question

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

Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system of equations?

Answer 1

you can multiply a whole equation by some number and it will still be the same equation

how can you get the x term or the y term opposite signs of each other? so when you add the two equations, one variable goes to 0x or 0y

Answer 2

like 2 times the first equation and (-3) times the second equation , try that out

Answer 3

Oh! Okay. Let me try it.. pls don't leave lol

Answer 4

i was about to, but i will stay.. hah

Answer 5

How did you think of using -3 for the second one?

Answer 6

type out the two new equations

Answer 7

Okay

Answer 8

i was looking at the y variables, 3y and 2y can both be turned into 6y , need the negative to get the -6y for the second

Answer 9

4x + 6y = 12
-15x -6y = -12

Answer 10

OH! I understand what you mean

Answer 11

looks good, you can also add equations together in systems like this

Answer 12

But, in this case I'm substracting right?

Answer 13

I got -11x = 0 by subtracting

Answer 14

4x + 6y = 12
-15x -6y = -12
----------------- +

nah just think of addition all the time, subtraction is the sam, plus a negative

Answer 15

good, so you can get the x value

Answer 16

x = 0/-11 = 0

Answer 17

It's 0 lol

Answer 18

Great! Thank you!!

Answer 19

use that in either equation and solve for the y value now

Answer 20

Thanks :)

Answer 21

the solution is the point (x,y) where thosew 2 lines intersect

Answer 22

both have same x and same y

Answer 23

welcome

Answer 24

:D

Answer 25

try 5xfirst and -2 x second, the x goes away this time, and you should get the same answer for x and y

Answer 26

just remember the general rules for these systems of lines, 2 or more equations

1 - multiply by a constant
2- add equations together
3 - change order of equations

that pretty much it