Question

What is the result of adding the system of equations?

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

Answer 1

what is 2x+3x

Answer 2

5x

Answer 3

2x + y = 4
3x - y = 6
=======
5x=10
x=5

+y and -y will be cancelled.

Answer 4

what is y + (-y)

Answer 5

-y?

Answer 6

think of

y + (-y)

as

y - y

Answer 7

it's like saying 1 + (-1) is the same as 1 - 1

Answer 8

oh so 0

Answer 9

so y + (-y) = 0y which is basically 0

Answer 10

finally, 4 + 6 = ??

Answer 11

10

Answer 12

that explains how adding the equations (all the like terms matching up and adding) gives you this


2x + y = 4
+ 3x - y = 6
----------------
5x + 0y = 10

which turns into

5x + 0 = 10

5x = 10

Answer 13

you then solve for x

afterwards, you use that value of x you just found to find y

Answer 14

Ok

Answer 15

but you can stop at 5x = 10 because it just wants to know what you get when you add the equations

Answer 16

But if i didnt have to stop would the awnser be 2x?

Answer 17

well if you want the answer for x and y, you would keep going

Answer 18

if 5x = 10, then what is x

Answer 19

it would be 10/2 right?

Answer 20

5x = 10

x = ???

and no it's not 10/2