System of Linear Equations and Linear Programming

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Across
  1. 5. in linear programming, the linear inequalities that form a system
  2. 8. of three linear equations in three variables-systems of three linear equations in three variables.
  3. 9. of two variables- a linear equation in x, y, and z; when you solve for z and replace z with f(x, y)
  4. 11. coordinate system-
  5. 13. region graph of the system of constraints
  6. 14. of a system of linear inequalities- the graph of all solutions of the system
Down
  1. 1. of a system of linear equations- an ordered triplet (x, y, and z) is the solution of all three equations.
  2. 2. three axes, taken two at a time, determine three coordinate planes that divide space into eight
  3. 3. triple- a set of three numbers of the for (x,y,z) that represents a point in space.
  4. 4. a vertical line through the origin and perpendicular to the xy-coordinate plane in a three-dimensional coordinate system.
  5. 6. finding the maximum or minimum value of some quantity.
  6. 7. method-A method of solving algebraic equations by replacing one variable with an equivalent quantity in terms of other variable(s) so that the total number of unknowns will be reduced by 1.
  7. 10. function subject to a system of linear inequalities called
  8. 12. equations in three variables- x,y, and z is an equation of the form ax+by+cz=d