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Can someone teach me systems of equations?

Mathematics
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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

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Other answers:

2x + y = 3 + x + y = 1 Is this the right first step?
you can do 3 different things to solve a linear system: 1. graph the equations, and find where they intersect. 2. substitution 3. elimination.
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?
if you subtract equation 2 from equation 1: you get x = 2 x + y = 1 next step is to subtract the new equation 1 from equation 2
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

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