COMM 161 Study Guide - Midterm Guide: Coefficient Matrix, Transpose, Main Diagonal

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While a linear equation is in the form , it"s often more useful to remember the point-slope formula ( ) This is particularly useful because the line goes through the point (a, b). Thus if you are given a slope and a point, you should write down the equation of the line using this formula. A unique solution is found when the # of variables = # of independent equations. Solving a system of equations algebraically through substitution: Steps: choose the equation in which a variable can. Equation 2: easily be isolated (integer coefficients, without fractions, etc: isolate one of the variables, replace the value of the variable from equation. The substitution method is good for a system of two equations with few terms. Use this method for simple linear functions where you feel you can rapidly isolate variables. Solving a system of equations algebraically through elimination: Steps: organize the equations so that the same.