Substitution Method

Rules on how to engage in the act of substitution:

1. Solve one of the equations for one of its variables.

2. Substitute expression into other equation and solve for other vaiable.

3. Substitute value back into equation.

Example

There are -4 lighthouses on island Rudolph, there are 3 grey per every 100 acres and 4 white per every 50 acres.

On Blitzkrieg island there 2 lighthouses, 1 grey per every 25 acres and 2 white per every 80 acres.

How can there be a negative amount of lighthouses,we need to find out what the value of x and y are to figure this out?

3x+4y=-4

x+2y=2

1. change x+2y=2 to x=-2y+2

2. substitute your new eqation in for the x in the other equation;3(-2y+2)+4y=-4 : -6y+6+4y=-4: -2y=-10: y=5

3. substitute y value in to original problem; x=-2(5)+2: x=-8

Therefore your values are (-8,5)

 

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