3.1 Solving Systems By Graphing Or Substitution. * A system of equations is a collection of equations in the same variable. *A solution to a system is.

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Presentation transcript:

3.1 Solving Systems By Graphing Or Substitution

* A system of equations is a collection of equations in the same variable. *A solution to a system is an ordered pair (x,y) that makes the system true. *The solution (x, y) is also the point of intersection for the graphs of the lines in the system.

c. 6x + 4y = 12 2y = 6 – 3x What type of solution to you get?

d.-x + 2y = 3 2x – 4y = - 6

e. x – y = 2 x + 2y = -6

f. 9x – 3y = 3 21x + 4 = 7y

y= -3x + 8 b. 3x + y = 8 18x + 2y = 4 Substitute into second equation

c. 7x + y = 6 5x – y = – 3 Solution (.25, 4.25) CI

IV. The solution of a system in three variables, such as in x, y, and z, is an ordered triple (x, y, z) Ex 1. x + y + z = 5 2x – 3y + z = - 2 4z = 8 z = 2

Ex 2. x – y – z = - 4 5x + 2y – 3z = 7 6z = - 24 z = - 4

Lesson Quiz