Chapter 3 Section 1 Systems of Linear Equations in Two Variables All graphs need to be done on graph paper. Four, five squares to the inch is the best.

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Presentation transcript:

Chapter 3 Section 1 Systems of Linear Equations in Two Variables All graphs need to be done on graph paper. Four, five squares to the inch is the best. One unit = one square

Solutions One ordered pair No solution Infinitely many solutions The two lines intersect at one point. Consistent system No solution The two lines are parallel. Dependent system Infinitely many solutions The two lines are identical. Same line Inconsistent system.

System of Linear Equations Two or more linear equations Solution The ordered pair that satisfies both equations. When graphing, the point where the two lines intersect.

Writing the Solution If two line cross at (3,4) Solution: Solution: x = 3 and y = 4 The intersection is (3, 4).

Systems of Equations and Their Solutions Is (7, 2) a solution to the system? Is (-3, - 4) a solution to the system?

Solve the system by graphing c) d) Note: Find the point of intersection.

Solve the system by substitution e) f) Note: Find the point of intersection.

Solve the system by addition g) h)

Solve the system i)