System Of Equations By Graphing Notes
2 2 where the lines intersect no solution parallel lines infinite solutions same line graphing method step 1.
System of equations by graphing notes. A solution to a system of equations is a set of values for the variables that all the equations simultaneously at the same time. The notes are a discovery lesson designed to help students discover how to solve a system of equations by graphing instead of simply telling them how to do it. The lines are parallel. There is no solution to this system.
5 4 choosing a method 5 5 solving special systems tuesday january 16 notes. Students take two column notes for the next section of class on graphing systems. Three methods for solving systems of equations 1. It is consistent and independent.
A system of equations is a set of or more equations with the same. Solve a system of equations by graphing. System of linear equations two or more linear equations solution of a system of linear equations an ordered pair that makes all of the equations in a system true. Graph the other equation on the same plane.
6 5 is the solution to the system. When we graph a linear equation in two variables as a line in the plane all the points on this line correspond to ordered pairs that satisfy the equation. H worksheet by kuta software llc. This resource contains notes and homework for solving systems of equations by graphing.
E 82x0 m1g26 yknuct la x sdo wf9trwpahrse f ulmlgcm 8 r 0a 8l hld rhinguh 8t3s 0 krse 0s qe brtv pezdh t g wm7adsej hwei htoh y kibnofnirnhigt uei taql6g betborva6 r18. The point of intersection solutions to systems. Find the point or points or intersection. Graph one equation b.
During this section i utilize the class notes. Systems of equations will reappear frequently in algebra ii. Solving systems of linear equations by graphing. Solve a system of equations by the substitution method.
They are also scaffolded beginning with what it. Thus the solution set of the system is 3 8 4 6. They will be used in maximization and minimization problems where solving by graphing will become especially useful. Solving systems of equation by graphing name definitions.
I introduce this presentation as a review on graphing linear functions. Systems of equations also appear in chemistry and physics.