Friday, September 16, 2011

EA 1 graphing project solve pairs of equations for two vertices

EA 1 graphing project solve pairs of equations for two vertices.

Directions for 5., revised.  You only need two ordered pairs, each from solving a system of 2 equations in 2 variables.

The dashed line is the boundary of the feasible region.  A solution for the red line and the blue line is not necessary because the intersection is outside the feasible region.

Solve for the coordinates of the vertex where red crosses green
Use the red equation in a system with the green equation
4x + 8y = 2400 and
9x + 3y = 1800                         
Hint - make the equations simpler; divide the 1st equation by 4
and divide the second equation by 3. Then use an "x =" or a "y =" to substitute
You will get (x,y) for this vertex

Solve for the coordinates of the vertex where green crosses blue
Use the green equation in a system with the blue equation
9x + 3y = 1800 and
9x + y = 1700                           
Hint - use a "y = " equation to substitute
You will get (x,y) for theis vertex

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