Question

Solve, using the substitution method.



4x + 2y = 11

x – 2 = – 2y

Answer 1

Is \[2y=11-4x\] Right?

Answer 2

Multiply the second equation by 2

Answer 3

and then subtract it from the first

Answer 4

Ok, so \[2x-4=-4y?\]

Answer 5

Wait.. actually multiply the second equation by 4. That way you eliminate the x term

Answer 6

\[4x-8=-8y\]

Answer 7

How would I subtract it from the first equation? X becomes eliminated than what?

Answer 8

@hartnn

Answer 9

When x is eliminated, you can find the y term

Answer 10

substitution method. (not elimination method)
4x + 2y = 11

x – 2 = – 2y (find 'x' from here, by adding 2 on both sides)

Answer 11

Once you find the y term, you can substitute it in any of the above equations, and then you get x.

Answer 12

x=y?

Answer 13

So 6y=11?

Answer 14

@hartnn you'll still have the y term

Answer 15

x – 2 = – 2y
x = 2-2y

plug this in 1st equation
4(2-2y) +2y =11
simplify and get y

Answer 16

ask if you don't get that ^

Answer 17

@hartnn , but can't you solve it using elimination as well?

Answer 18

8-8y+2y=11

Answer 19

-10y=3?

Answer 20

the system can be solved by elimination method, but since the question specifically asks for substitution, we need to use substitution

Answer 21

-8y +2y = ... ?

Answer 22

6y

Answer 23

8-6y=11

-6y=3

y=-1/2

Answer 24

YES :)

Answer 25

now find x

Answer 26

Okkkkk :)

Answer 27

x=3

Answer 28

So its this bit.ly/1ewUix3

Answer 29

\(\huge \checkmark \)

Answer 30

(3,-1/2) Right?

Answer 31

yes, it is correct.

Answer 32

Thanks! Should I give the medal to potatoes or you? He tried... but you helped

Answer 33

i'm not here for medals. you understand thats my medal :)

Answer 34

:D

Answer 35

Also.. I'm a she :) And my method was wrong for this problem! Sorry!