Question

Will fan + medal!!!

Solve the system.

x – 2y = 10
3x + 2y = 14


(–8, 6)
(–2, 6)
(6, –8)
(6, –2)

Answer 1

Add the two equations together first :)

Answer 2

I had someone say that already but how do i do that? @kc_kennylau

Answer 3

You add both LeftHandSides together as well as both RightHandSides together.

For example, to the two equations a=b and c=d, a+c=b+d

Answer 4

Do you get it now?

Answer 5

kinda...

Answer 6

not really..

Answer 7

For example, I want to add the following two equations up:
1. \(\color{red}a=\color{blue}b\)
2. \(\color{red}c=\color{blue}d\)

I would get the following result:
\[\color{red}a+\color{red}c=\color{blue}b+\color{blue}d\]

Answer 8

Still don't get it?

Answer 9

Nope....

Answer 10

Notice how the red parts add up together, as well as the blue parts

Answer 11

oh yeah

Answer 12

still don't get it?

Answer 13

or you get it now?

Answer 14

See how -2y and +2y cancel out?

Just add them up, one of them has to cancel out in order to solve and then to solve for the other variable

So adding them your left with 4x = 24

Solve for x :P

Answer 15

what's y? @tHe_FiZiCx99

Answer 16

x is 6