3.1 Solving Linear Systems by Graphing

1
3.1 Solving Linear Systems by Graphing
OBJ To Graph and solve systems of linear
equations in two variables Use linear systems
to solve real-life problems

• Ex Check whether (1,4) is a solution of the
  system.
• x-3y -5-2x3y10

1-3(4) -5 1-12 -5 -11 -5 doesnt work in 1
eqn, so theres no need to check the other. Not a
solution
2
Ex Solve the system graphically. -2x3y3 x6y
-24
(-6,-3)
3
Ex Solve the system graphically. 2x4y12 x2y
6

• the 2 eqns are for the same line
• So there are infinitely many solutions

4
Ex Solve graphically x-y5 2x-2y9

• They are parallel so there is No solution