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Objective - To find solutions to linear equations. One-variable EquationsTwo-variable Equations 2x + 3 = 11 - 3 -3 2x = 8 2 x = 4 One Solution Two Solution.

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Presentation on theme: "Objective - To find solutions to linear equations. One-variable EquationsTwo-variable Equations 2x + 3 = 11 - 3 -3 2x = 8 2 x = 4 One Solution Two Solution."— Presentation transcript:

1 Objective - To find solutions to linear equations. One-variable EquationsTwo-variable Equations 2x + 3 = 11 - 3 -3 2x = 8 2 x = 4 One Solution Two Solution y = 2x + 1 x = 1y = 3 x = 2y = 5 x = 3y = 7 x = 4y = 9 x = -5y = -9 y = 2 Infinite Solutions (1, 3) (2, 5) (3, 7) (4, 9) (-5, -9) Ordered pairs 1 2 3 4 -5 3 5 7 9 -9 2 xy

2 Linear Equations? y = 2x + 1 x -22(-2) + 1= -3 2(-1) + 1= -1 02(0) + 1= 1 12(1) + 1= 3 22(2) + 1= 5 32(3) + 1= 7 42(4) + 1= 9 y x y = 2x + 1 This line represents all the solutions to y = 2x + 1

3 Linear EquationsNon-linear Equations

4 Solve the following equations for y in terms of x. 1) 3x + y = 73) x + y = 9 -3x y = -3x + 7 -x y = -x + 9 2) 2x + 3y = 94) 4x - y = 11 -2x 3y = -2x + 9 -4x -y = -4x + 11 3

5 Solve for y in terms of x.

6 Solve for y in terms of x and complete the table of values. x -6 -3 0 3 6

7 Solve the following equation for y and complete the table of values. x -4 -2 0 2 4

8 Translate the sentence into an equation, solve the equation for y, and complete the table of values. x -8 -4 0 4 8 9) The difference of 3 times a number x and 4 times a number y is 20.

9 Write an equation that represents the problem situation, solve for y, and list all possible solutions using the table. Jeff spends $12 on, y, hamburgers that are $3 each, and, x, hot dogs that are $2 each. How many of each can he buy? x 0 2 4 (x,y) =(0, 6), (2, 3), (4, 0)


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