Solving Linear Equations and Graphs

The video tutorial explores equations with two variables, demonstrating how to find solutions by substituting values for x and y. It explains the concept of dependent and independent variables and shows how multiple solutions can exist for a single equation. The tutorial also covers the use of fractions in equations and illustrates how to graph solutions on a coordinate plane. The session concludes with a brief introduction to student assignments.

What is the solution for the equation 2x = 4?

• x = 1

• x = 2

• x = 3

• x = 4

If x = 7 in the equation x + y = 4, what is the value of y?

• y = 3

• y = -3

• y = 0

• y = 7

In the equation x + y = 4, if y = -3, what is the value of x?

• x = 7

• x = -3

• x = 1

• x = 4

What is the solution for y in the equation 2x - y = 6 when x = 1/2?

• y = 5

• y = -6

• y = -5

• y = 6

If x = 7 in the equation 2x - y = 6, what is the value of y?

• y = 8

• y = -8

• y = 7

• y = 6

What is the y-value when x = 0 in the equation x + y = 3?

• y = 3

• y = 1

• y = 0

• y = 2

In the equation x + y = 3, if x = 5, what is the value of y?

• y = -2

• y = 3

• y = 2

• y = 0

What type of equation is x + y = 3?

• Cubic

• Exponential

• Linear

• Quadratic

If x = -4 in the equation x + y = 3, what is the value of y?

• y = -3

• y = 3

• y = -7

• y = 7

What happens to the graph of x + y = 3 when plotted on a coordinate plane?

• It forms a parabola

• It forms a circle

• It forms a straight line

• It forms a curve