Solving Simultaneous Equations

This video tutorial explains how to use the method of elimination to solve simultaneous equations. The process involves adjusting the coefficients of the variables to be the same, allowing one variable to be eliminated by adding or subtracting the equations. The tutorial provides a step-by-step example, demonstrating how to solve for one variable and substitute it back to find the other. The video concludes with a summary of the method's effectiveness in solving such problems.

What is the primary goal of using the method of elimination in solving simultaneous equations?

• To add equations together

• To eliminate one variable

• To multiply equations

• To divide equations

What should be done to the coefficients of a variable in both equations to use the elimination method effectively?

• Make them negative

• Make them zero

• Make them different

• Make them equal

In the given example, what common factor is used to align the coefficients of y?

• 3

• 9

• 2

• 6

After transforming the equations, what is the resulting equation when the y terms are eliminated?

• 5x = 37

• 10x = 74

• 9x = 21

• 19x = 95

What is the value of x after solving the equation 19x = 95?

• x = 4

• x = 5

• x = 6

• x = 7

Once x is found, into which equation can it be substituted to find y?

• Neither equation

• Only equation 2

• Only equation 1

• Either equation 1 or 2

What is the value of y when x = 5 is substituted back into equation 1?

• y = -6

• y = -5

• y = -4

• y = -3

What is the final solution for the simultaneous equations in terms of x and y?

• x = 4, y = -3

• x = 7, y = -6

• x = 5, y = -4

• x = 6, y = -5

What is the main advantage of using the elimination method for solving simultaneous equations?

• It requires fewer calculations

• It simplifies the process by removing one variable

• It always results in integer solutions

• It is faster than substitution