Basic Technical Mathematics, 11th Edition

5 Systems of Linear Equations; Determinants

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

• Identify linear equations

• Calculate the slope of a linear function

• Graph a linear function

• Use the slope-intercept form of a line

• Determine x-and y-intercepts

• Use a regression line to model data

• Test for a solution of a system of equations

• Solve a system of linear equations graphically

• Identify an inconsistent or dependent system of equations

• Solve a system of two or three linear equations algebraically

• Solve a system of two or three linear equations using determinants (Cramer’s rule)

• Solve application problems involving systems of linear equations

As knowledge about electric circuits was first developing, in 1848 ...