537644
Description
Mind Map by robinkated, updated more than 1 year ago
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Created by robinkated
almost 11 years ago
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Systems of Linear Equations
- Graphing
- The answer is the ordered
pair of the location where the
two (or more) lines collide
- Steps of Graphing:1) put
into y=mx+b form 2) graph
equation 3) the intersection
point is the solution
- The answer is the ordered
pair of the location where the
two (or more) lines collide
- Elimination
- solved by adding (or subtracting)
- a+ b=8
-a+5b=10
- a+ b=8
-a+5b=10
- If no variables can be
added or subtracted, then
multiply a number through
the entire equation, so that
the variables can cancel out.
- For subtracting, multiply a
negative through the entire
equation to add instead.
- For subtracting, multiply a
negative through the entire
equation to add instead.
- solved by adding (or subtracting)
- Substitution
- solved by substituting an
expression or equation for a
variable
- x=5+2y AND 3x+y=8
SO, 3(5+2y)+y=8
- x=5+2y AND 3x+y=8
SO, 3(5+2y)+y=8
- Steps of Substitution: 1) Isolate a
variable 2) Substitute the expression
for isolated variable into the other
equation 3) Solve for that variable 4)
Plug solution back into either original
equation 5)Check in both equations
- solved by substituting an
expression or equation for a
variable
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