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Mindmap von Nur Sakinah Isla, aktualisiert more than 1 year ago
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Erstellt von Nur Sakinah Isla
vor mehr als 10 Jahre
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System of Linear Equations
- A System of Equations is when we have two or more
equations working together.
- Example:
- 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? Two equations
(d=distance in km, t=time in minutes):
You: d= 0.2t The horse: d=0.5(t-6)
- 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? Two equations
(d=distance in km, t=time in minutes):
You: d= 0.2t The horse: d=0.5(t-6)
- Solving System of Linear Equation
- Substitution Method
- 1.Write one of the equations so it is in the style "variable = ..."
- 2.Replace (i.e. substitute) that variable in the other equation(s)
- 3.Solve the other equation(s)
- 1.Write one of the equations so it is in the style "variable = ..."
- Elimination Method
- "Eliminate" means to remove: this method works
by removing variables until there is just one left.
- We can multiply an equation by a
constant (except zero)
- We can add (or subtract) an
equation on to another equation
- We can multiply an equation by a
constant (except zero)
- "Eliminate" means to remove: this method works
by removing variables until there is just one left.
- Substitution Method
- Solutions
- Substitution is often easier for small cases (like 2
equations, or sometimes 3 equations) Elimination
is easier for larger cases
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