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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: