Solving Simultaneous Equations Methods

This video tutorial demonstrates how to solve simultaneous equations using the substitution method. It begins with an introduction to simultaneous equations and the two main methods for solving them: substitution and elimination. The video focuses on the substitution method, explaining how to isolate one variable in one equation and substitute it into the other. The tutorial provides a step-by-step example, solving for Y in the first equation, substituting it into the second equation to find X, and then using the X value to find Y. The video concludes by summarizing the solution and suggesting the elimination method as an alternative approach.

What are the two main methods for solving simultaneous equations?

• Substitution and Division

• Division and Multiplication

• Substitution and Elimination

• Elimination and Multiplication

What is the first step in the substitution method?

• Solve for both x and y in one equation

• Solve for either x or y in one equation

• Solve for y in both equations

• Solve for x in both equations

In the given example, which variable is solved for first?

• y in the second equation

• x in the first equation

• y in the first equation

• x in the second equation

What is the first equation given in the example?

• 4x - 2y = 7

• 3x + 4y = 24

• 4x + 2y = 24

• 3x - 4y = 7

What is the second equation given in the example?

• 3x + 4y = 24

• 4x + 2y = 24

• 3x - 4y = 7

• 4x - 2y = 7

What is the value of y after solving the first equation?

• 4x - 24

• 12 - 2x

• 24 - 4x

• 2x - 12

After substituting y into the second equation, what is the next step?

• Solve for y

• Combine like terms

• Multiply both sides by 2

• Divide both sides by 4

What is the result of combining like terms in the second equation?

• 11x - 48 = 7

• 11x + 48 = 55

• 11x + 48 = 7

• 11x - 48 = 55

What is the value of 3x after substituting y in the second equation?

• 3x - 48

• 3x + 48

• 3x + 8

• 3x - 8

What is the value of x after solving the second equation?

• 3

• 4

• 5

• 6