Using a multiplier with one equation to use the add method to solve the system of equation

The video tutorial explains how to solve equations using the elimination method. It begins with an introduction to the method, followed by steps to prepare equations by ensuring coefficients are the same. The tutorial then demonstrates solving equations by adding or subtracting them, and concludes with tips for effectively using the elimination method, such as choosing multipliers to avoid fractions.

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

• Isolate the variable with a coefficient of one.

• Ensure coefficients of one variable are the same.

• Divide both equations by the same number.

• Add the two equations directly.

Why might one choose to multiply equations instead of dividing when aligning coefficients?

• Division can introduce fractions, which are harder to work with.

• Division is not allowed in the elimination method.

• Multiplication always results in smaller numbers.

• Multiplication is faster than division.

What is a common strategy to simplify the process of adding or subtracting equations?

• Add a constant to both equations.

• Multiply both equations by zero.

• Ensure one coefficient is negative to facilitate addition.

• Always subtract the equations.

After aligning coefficients, what is the next step in solving the equations?

• Divide the equations by the coefficient.

• Switch to the substitution method.

• Multiply the equations by another number.

• Add or subtract the equations to eliminate one variable.

Once a variable is eliminated, how do you find the value of the remaining variable?

• Use the quadratic formula.

• Divide the result by zero.

• Substitute the known value back into one of the original equations.

• Guess the value based on the context.