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a linear system is simply a set of linear equations.

Ok, but can you give me an example so i can try?

here's an easy one:
2x + y = 3
x + y = 1

2x + y = 3
+ x + y = 1
Is this the right first step?

Im gonna do elimination then substitution

No wait

I cant do elimination on this one

2x + y = 3
+ x + -y = 1-2y
3x=4-2y

That cant be right

you can; in fact elimination would be the easy way out of this one

WAIT

Can i divide the equations?

y=1?

you can't really divide the equations

Ok, i see why now

Give me another one so i can try, i think i see the pattern

2x + y = 5
x + y = 3

2x + y = 5 - x + y = 3 = x=2? The y's cancel out right?

Now i can substitute to get y

right

2 + y = 3
y=1

I can cross check this with the other equation

4 + 1 = 5
2 + 1 = 3