Systems of Linear Equations in Two Variables

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Systems of Linear Equations in Two Variables PreCalculus 7-2

Two Variable Systems

Two Variable Systems

(6, 6) Find all solutions of the system 5x + 4y = 54 x – 4y = –18 Two Variable Systems

Two Variable Systems

(3, -6) (-3, -6) Find all solutions of the system 3x2 + 5y = –3 Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

Two Variable Systems

No Solution Find all solutions of the system 6x + 3y = 12 2x = 8 – y Two Variable Systems

Infinitely Many Solutions Find all solutions of the system x = 6 – 2y 3x + 6y = 1 Infinitely Many Solutions Two Variable Systems

Solving Systems 7 mph 7/5 mph A man rows a boat upstream from one point on a river to another point 7 miles away in 1.75 hours. The return trip, traveling with the current, takes only 50 minutes. How fast does he row relative to the water (in mph) and at what speed is the current flowing? 7 mph 7/5 mph Solving Systems

Solving Systems

Solving Systems

Solving Systems

A vintner fortifies wine that contains 10% alcohol by adding a 60% alcohol solution to it. The resulting mixture has an alcoholic strength of 12% and fills 1100 one-liter bottles. How many liters of wine and of the alcohol solution does he use? 1056 44 Solving Systems

Group Work 12 Solving Systems

Homework Pages 469 – 471 9, 13, 17–20, 25, 28, 35, 47, 61, 62 Two Variable Systems