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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 two variables is and ordered pair (x, y) that ___________ each equation in the system.
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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 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 • Write each equation in slope intercept form (y=mx + b) • Graph both equations thoroughly (neatness counts) • Estimate the coordinates of the point of intersection • Check the coordinates algebraically by substituting into each equation of the original linear system.