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Magazine Problem 2
A solution of a system of three linear equations in three unknowns can be written as an ___________ ____________, which has the form \((x, y, z)\).
Problem 3
The process used to write a system of linear equations in row-echelon form is called _____________ elimination.
Problem 3
Fill in the blanks. Each fraction on the right side of the equation \(\frac{x-1}{x^{2}-8 x+15}=\frac{-1}{x-3}+\frac{2}{x-5}\) is a=_______.
Problem 3
Fill in the blanks. A system of linear equations that has at least one solution is called __________, whereas a system of linear equations that has no solution is called ___________ .
Problem 3
A ________ of a system of inequalities in and is a point \((x, y)\) that satisfies each inequality in the system.
Problem 3
Fill in the blanks. The_______function of a linear programming problem gives the quantity to be maximized or minimized.
Problem 3
Fill in the blanks. Graphically, the solution of a system of two equations is the ____ of _____ of the graphs of the two equations.
Problem 4
Fill in the blanks. In business applications, the ___________ ______________ is defined as the price \(p\) and the number of units \(x\) that satisfy both the demand and supply equations.
Problem 4
Interchanging two equations of a system of linear equations is a __________ ___________ that produces an equivalent system.
Problem 4
Fill in the blanks. You obtain the ________ ________ after multiplying each side of the partial fraction decomposition form by the least common denominator.
