91Ó°ÊÓ

Fill in the blanks. If a point lies on the graph of an equation, it is a solution of the equation, and the coordinates of the point _______ the equation.

Fill in the blanks. \(\left|\begin{array}{rr}4 & 9 \\ -6 & 1\end{array}\right|\) is a ________ . The numbers 4 and 1 lie along its main ________ .

Fill in the blanks. The process of determining an equation whose graph contains given points is called curve ____________.

Fill in the blanks. A determinant is number that is associated with a ________ matrix.

Fill in the blanks. Because the ordered pair \((2,3)\) satisfies both equations in problem \(1\) , it is a _____ of the system of equations.

Fill in the blanks. Each number in a matrix is called an _______ or entry of the matrix.

Write a system of three equations in three variables that models the situation. Do not solve the system. A bakery makes three kinds of pies: chocolate cream, which sells for \(\$ 5\); apple, which sells for \(\$ 6\); and cherry, which sells for \(\$ 7 .\) The cost to make the pies is \(\$ 2, \$ 3,\) and \(\$ 4\) respectively. Let \(x=\) the number of chocolate cream pies made daily, \(y=\) the number of apple pies made daily, and \(z=\) the number of cherry pies made daily. a.) Each day, the bakery makes 50 pies. b.) Each day, the revenue from the sale of the pies is \(\$ 295\). c.) Each day, the cost to make the pies is \(\$145\).

Solutions of a system of three equations in three variables, \(x, y,\) and \(z,\) are written in the form \((x, y, z)\) and are called ordered _________.

When the graphs of the equations of a system are identical lines, the equations are called dependent and the system has ______ many solutions.

Fill in the blanks. If the order of a matrix is \(3 \times 4,\) it has 3 _______ and 4 _______. We read \(3 \times 4\) as " 3 ____ \(4 "\)