Solving Systems of Equations

The video tutorial explains the elimination method to solve a system of equations. It begins with two equations and demonstrates how to eliminate one variable by adding the equations. The process involves solving for X, then substituting the value of X into one of the original equations to find Y. The tutorial emphasizes the importance of performing operations on both sides of the equation to maintain equality.

What is the first step in using the elimination method to solve a system of equations?

• Substitute one equation into the other.

• Add or subtract the equations to eliminate one variable.

• Divide both equations by the same number.

• Multiply both equations by the same number.

In the given system of equations, which variable is eliminated first?

• y

• x

• Both x and y

• Neither x nor y

After eliminating a variable, what is the next step in solving for x?

• Subtract a constant from both sides.

• Add a constant to both sides.

• Multiply both sides by a number.

• Divide both sides by the coefficient of x.

What value of x is obtained after solving the equation 4x = 16?

• 2

• 3

• 4

• 5

Once x is found, what is the next step to find y?

• Add the value of x to both equations.

• Use the value of x in the first equation.

• Subtract the value of x from both equations.

• Use the value of x in the second equation.

What operation is performed to isolate y in the equation -3y = 3?

• Divide both sides by -3.

• Add 3 to both sides.

• Multiply both sides by -3.

• Subtract 3 from both sides.

What is the final value of y in the solution?

• 2

• 1

• 0

• -1

What is the solution to the system of equations?

• (4, 1)

• (4, -1)

• (-4, 1)

• (-4, -1)

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

• To ensure the solution satisfies both equations.

• To find a different solution.

• To eliminate the need for substitution.

• To simplify the equations further.

What is the purpose of using the elimination method?

• To rewrite the equations in a different form.

• To graph the equations.

• To find the intersection point of the equations.

• To eliminate the need for solving.