Presentation on theme: "Section 7.1 Solving Linear Systems by Graphing. A System is two linear equations: Ax + By = C Dx + Ey = F A Solution of a system of linear equations in."— Presentation transcript:
A System is two linear equations: Ax + By = C Dx + Ey = F A Solution of a system of linear equations in two variables is and ordered pair (x, y) that ___________ each equation in the system. When graphing both equations for the linear system, you are looking for the ___________ of the linear equations. Where A, B, C, and D are integers and x & y are variables satisfy Solution
Checking the intersection point Use the graph to solve the system of linear equations. Then check your solution algebraically.
Rules for Solving a linear system using graphing and check 1)Write each equation in slope intercept form (y=mx + b) 2)Graph both equations thoroughly (neatness counts) 3)Estimate the coordinates of the point of intersection 4)Check the coordinates algebraically by substituting into each equation of the original linear system.