Chapter 6 : Linear Systems

College Algebra by Examples

6.1 Systems of Linear Equations

Graphics Approach: Graph equations and solution is point of intersection; (x, y) Substitution Approach: Solve for one variable in terms of another in one of the equation and substitute in other so have one variable in an equation to solve. Addition Approach: Multiply one of the equation so the coefficient on one of the variable cancel out when the equations is added; solve for the other variable after cancellation.

6.7 Graphs of Linear Inequalities

Graph Inequalities for all equations being mindful of boundaries: Find intersection of regions where half-planes are common - or find where half-planes intersect for all inequalities. Graph Shown is: (1) (2) (3)