Non-Linear and Linear Equations

The video tutorial explains how to solve equations using the graphical method. It covers plotting a linear equation, 2y - x = 1, and a non-linear equation, xy + x^2 = 26, using a range of x values from -5 to 5. The tutorial demonstrates how to construct tables for plotting points and how to use a calculator for calculations. It concludes by identifying the points of intersection of the graphs as the solutions to the equations.

What is the main method used to solve self-practice 3.4 number two?

• Algebraic method

• Graphical method

• Numerical method

• Analytical method

What is the range of x values used to draw the linear graph?

• -10 to 10

• -5 to 5

• 0 to 10

• -3 to 3

Which equation is used for the linear graph?

• y = x + 2

• 2y - x = 1

• y = 2x + 1

• x^2 + y^2 = 1

What is the y value when x is -5 in the linear equation?

• -1

• 2

• 0

• -2

What is the y value when x is -3 in the linear equation?

• 1

• -2

• 0

• -1

What is the y value when x is 1 in the linear equation?

• 0

• 3

• 1

• 2

What is the y value when x is 3 in the linear equation?

• 0

• 3

• 1

• 2

What is the y value when x is 5 in the linear equation?

• 0

• 1

• 2

• 3

What type of line is formed by the linear equation?

• Curved line

• Dashed line

• Straight line

• Dotted line

What is the non-linear equation introduced in the video?

• x^2 - y^2 = 26

• x + y = 26

• xy + x^2 = 26

• x^2 + y^2 = 26