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Methods for solving systems
We will be looking at two methods for solving systems in this section.
Method of substitution
The first method is known as the method of substitution. In this method we will solve out one of the equations for one of the variables & substitute it into the other equation. It will yield one equation along with one variable that we can solve out. Once it is solved we substitute this value back in one of the equations to determine the value of the remaining variable.
In words this method is not always very apparent. Let's work on examples to see how this method works.
(9x-3)(x+6)
What type of equation is used if a ball is thrown upward 1.63 meters off the ground and it reaches 3.34 meters in height at 0.6 seconds before falling to the ground?
Here are two one-to-one functions f (x ) and g ( x ) if (f o g )( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are
is negative 6 less than 2x minus 4 less than 13 an and or statement
There are also two lines on each of the graph. These lines are called asymptotes and as the graphs illustrates as we make x large (in both the +ve and -ve sense) the graph of the h
16x-10y=10 -8x-6y=6
Find all the eighth roots of (19 + 7 i)
(1/4)^1/2
Using transformation sketch the graph of each of the following. g ( x ) = - x 2 Solution (a) Depending on the placement of
C=2(3.14)r solve for r
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