Question

What is the solution to the system of equations?
@ganeshie8

Answer 1

subtract both the equations vertically

Answer 2

What do I subtract from them?

Answer 3

x + y = 5
x - 2y = 2
-------------
0 + 3y = 3

y = ?

Answer 4

How did you get 3y? I see how you get it if you add but how do you get it if you subtract?

Answer 5

x + ` y` = 5
x - `2y` = 2
-------------
0 + `3y` = 3

Answer 6

`y` - - `2y`

Answer 7

Wouldn't you have to add to get 3y?

Answer 8

adding them both gives you `-y`
however its not useful because the x term wont disappear

Answer 9

we're subtracting because we want to kill x term so that we can solve y first

Answer 10

note that x-x = 0

Answer 11

I get it! So it would be like 2 negatives=a positive?

Answer 12

Exactly !

Answer 13

Ok! So now what do you have?

Answer 14

3y=3
-------
y=1??

Answer 15

Yup!

Answer 16

plug that y value in any of the given equations and solve x

Answer 17

Ok, so what next? Now that we have
?, 1

Answer 18

x+1 = 5

so x = 4??

Answer 19

Perfect !

Answer 20

Yeah! So the answer would be 4,1?

Answer 21

\(\large \color{Red}{\checkmark}\)

Answer 22

Ok, I will close this question and open another for my 2nd question. And tag you :)