Solving Systems of Equations with Elimination Method

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

• To find the value of one variable first

• To align the equations horizontally

• To eliminate one of the variables

• To multiply the equations

What should you do if no variables are eliminated after adding the equations together?

• Rewrite the equations

• Give up on the problem

• Try multiplying the equations by different numbers

• Subtract the equations instead

How can you make the coefficients of a variable opposite in sign to facilitate elimination?

• By adding the equations

• By subtracting one equation from the other

• By dividing one equation

• By multiplying the equations by suitable numbers

What is a common mistake students make when multiplying an equation by a number?

• Multiplying by zero

• Changing the sign of the numbers

• Multiplying only the variable terms

• Forgetting to multiply the constant term

After successfully eliminating a variable, what is the next step?

• Eliminate the second variable

• Rewrite both equations

• Solve for the remaining variable

• Check the solution

What is the correct order of an ordered pair in the context of solving systems of equations?

• It does not matter

• (x, y)

• Depends on the equation

• (y, x)

How do you find the value of the second variable after finding the first?

• Use the same equation used to find the first variable

• Use the other original equation

• Guess the value

• There is no need to find the second variable

Why is it important to check your solution in both original equations?

• To ensure the solution satisfies both equations

• To find any possible mistakes

• Both A and C

• Because it is a requirement

What does it indicate if the left-hand side and the right-hand side of an equation do not match after substituting the solution?

• The method used is incorrect

• The equations are unsolvable

• There is a mistake in the calculation

• The solution is correct

What is the solution to the system of equations discussed in the video?

• (3, -1)

• (-1, 3)

• (1, -3)

• (-3, 1)