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Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

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Page 1: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

Practice1.) Solve for y : 4x + 2y = -8

2.) Solve for y: 3x – 5y = 10

3.) Graph the equation:3x – 2y = 5

x

y

O 5

5

5

5

Page 2: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

Solving Systems of 2 linear equations by graphing

Page 3: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

-8x -8x

-3x -3x

÷-1 ÷-1 ÷-1

÷2 ÷2 ÷2

(0,-8)

-4x -4x

-3x -3x

÷-5 ÷-5

÷-5 ÷-5 ÷-5

(5,4)

-3x -3x

-3x -3x

÷2 ÷2 ÷2

÷2 ÷2 ÷2

No Sol.

Page 4: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

There are 2 ways to do this on the calculator.

You can graph them both and then make sure they intersect on the screen. Then press 2nd trace(calculate) then press 5 (intersect) followed by enter 3 times and the x and y values of the point of intersection will appear at the bottom of the screen.

The other way is to graph both equations then press 2nd graph(table) and you will see 3 columns x y1 and y2 this is telling you all the points for the 2 equations using the x. you want to find the one where the y is the same and then that y with the x that makes them the same is your point of intersection.

Page 5: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

There are 3 possible ways for system of equations to be graphed . Therefore, there are

3 types of solutions.

Page 6: Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O 5 5 5 5

You try theseSolve each system by graphing or using a table. classify each system as independent, dependent, orinconsistent Check your answers.