Question

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Answer 1

@AZ can u explain this to me one more time?

Answer 2

Let's use the elimination method for this one @Positivity

Answer 3

We basically want to multiply one or both equations so that way if we add them up, we can ELIMINATE one variable/letter and then solve for the remaining one

Answer 4

So what do you get if you multiply the first equation by -2

that way we'll get an 8x and -8x and when we add them, we'll have removed the x and we'll only be left with 'y'

Answer 5

well do i multiply the entire equation?

Answer 6

yes, the entire thing on both sides

otherwise we would be changing the equation

to keep the equation the same, you have to do it to the entire thing

Answer 7

for example

x = 5

is the same thing as

2x = 10

but if we only multiplied 2 on one side, then we would completely change the original thing

so like
x = 5 is not the same thing as x = 10

does that make sense?

Answer 8

yeah

Answer 9

so-

Answer 10

8x-4y=32?

Answer 11

Good! Now add it with the other equation, what do you get?

8x-4y=32
-8x + 8y = 8

Answer 12

add them together or multiply the 2nd by -2?

Answer 13

add them together

everything on the left side of the equal sign together
and everyone on the right side of the equal sign together

Answer 14

ok-

Answer 15

4y=40

Answer 16

y=10

Answer 17

yes! y = 10

what about x?
plug it into one of the equations, what do you get for x?

Answer 18

ok-

Answer 19

y=10
x=9

Answer 20

You got it! Well done! :)

Answer 21

thank you so much

Answer 22

No problem!