Section 7.1
Date:________________
Solving Linear Systems by Graphing
Linear System: ________________________ equations that occur _________
______________________________
Solution of a System of Linear Equations:


An _____________________ that is _________ for ____________ equations
in the system
A ________________________________ of the graphs of 2 or more equations
To solve a system of equations by graphing:
1. _____________ each equation in a form that’s _________________________.
2. _____________ both equations on the _______________________________.
3. _____________ the coordinates of _________________________________.
4. ___________ the coordinates by _________________ into _______ equations.
Ex 1
Solve the system by graphing.
Y=x–6
Y = -2x + 6
Check:
Top Equation:
Bottom Equation:
_____________ is the solution or the point of intersection.
Ex 2 Solve the system by graphing.
3x + y = 11
x – 2y = 6
Top Equation:
Bottom Equation:
Check:
Top Equation:
Bottom Equation:
_____________ is the solution or the point of intersection.
Ex 3 An ecologist is studying the population of two types of fish that live in a lake.
Type A: There are currently 5750 fish in the lake, and their population is decreasing
at a rate of 250 per year.
Type B: There are currently 3500 fish in the lake, and their population is increasing
at a rate of 500 per year.
Predict how many years it will take for there to be an equal number of each type of
fish in the lake.
Equation Type A:_____________________________
Equation Type B:_____________________________
Conclusion: