by Graphing Key Terms A system of two linear Equations in variables x and y consist of two linear equations Solution consist of an order pair Two Types Consistent At least one Solution ID: 675082
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Slide1
Solving Linear Systems by GraphingSlide2
Key Terms:A system of two linear Equations – in ____ variables x and y, consist of two linear equations. Solution – consist of an order pair_____ .Two Types:Consistent – At least one SolutionIndependent – _______ ______Dependent – ___________ ________ Inconsistent – No SolutionSlide3
Consistent Vs. InconsistentSlide4
Example: Exactly OneSolve by Graphing. Check algebraically
Solution: ( )
y = -1
3x + y = 5Slide5
CHECK
Equation 1 Solution Equation 2
y
= -1 (
2
,
-1
)
3
x
+
y
= 5
(
-1
) = -1 3(
2) + (-1) = 5 -1 = -1 6 - 1 = 5
5 = 5Slide6
Example:
Many Solutions
Solve the system and Classify.
y = 2x -1
-6x + 3y = -3 Slide7
Example: No Solution2x + y = 4
y = -2x +1
Slide8
You Try It!!!
Solve by
Graphing and
C
heck Algebraically
y = -3x + 2
y = 2x - 3
4x + y = 5
y = -4x - 2
Solution: ( )Slide9
HomeworkWorkbook -Page 36 & 37 # 1-12