Learn to Solve a System of Equations with One Solution by Elimination

The video tutorial explains how to solve a system of equations using the elimination method. It begins by introducing the concept of elimination and the need to find common multiples for the coefficients of variables. The tutorial then demonstrates solving for X by multiplying equations to align coefficients, followed by subtracting the equations to eliminate a variable. Finally, it solves for Y and verifies the solution by substituting back into the original equations.

What is the main goal when using the elimination method to solve a system of equations?

• To add the equations together

• To multiply both equations by the same number

• To eliminate one of the variables

• To find the common denominator of the coefficients

Why is it necessary to multiply the equations by different numbers in the elimination method?

• To make the equations longer

• To change the signs of the coefficients

• To achieve the same coefficient for one of the variables

• To simplify the equations

What property is used when multiplying each term of the equation by a number?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

After obtaining the same coefficients for one variable, what is the next step in the elimination method?

• Add the equations

• Subtract the equations

• Multiply the equations again

• Divide the equations

Once one variable is eliminated, how do you find the value of the other variable?

• By substituting the known value into one of the original equations

• By multiplying the equations again

• By dividing both equations by the same number

• By guessing