System of Linear Equation


System of Linear Equation 

A Linear Equation is an equation for a line.
A linear equation is not always in the form y = 3.5 − 0.5x,
It can also be like y = 0.5(7 − x)
Or like y + 0.5x = 3.5
Or like y + 0.5x − 3.5 = 0 and more.
(Note: those are all the same linear equation!)
A System of Linear Equations is when we have two or more linear equations working together.

it's a race!
You can run 0.2 km every minute.
The Horse can run 0.5 km every minute. But it takes 6 minutes to saddle the horse.
How far can you get before the horse catches you?
We can make two equations (d=distance in km, t=time in minutes)
You run at 0.2km every minute, so d = 0.2t
The horse runs at 0.5 km per minute, but we take 6 off its time: d = 0.5(t−6)
So we have a system of equations (that are linear):
d = 0.2t
d = 0.5(t−6)
Do you see how the horse starts at 6 minutes, but then runs faster?
It seems you get caught after 10 minutes ... you only got 2 km away.
Run faster next time.

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