Tutorial - How do we solve a system of linear equations using any method

The video tutorial explains how to solve a system of equations with fractions using the elimination method. It begins by introducing the problem and the challenges posed by fractions. The instructor demonstrates how to eliminate fractions by multiplying by the least common multiple (LCM) of the denominators. After simplifying the equations, the elimination method is applied to find the solution. The tutorial concludes with solving for the variables and verifying the solution.

Why did the teacher decide against using substitution or graphing methods for solving the given equations?

• The equations had no solutions.

• The equations were too simple for substitution.

• The coefficients were not suitable for substitution or graphing.

• The equations were already in slope-intercept form.

What is the first step in eliminating fractions from the equations?

• Add the fractions together.

• Convert fractions to decimals.

• Multiply each term by the LCM of the denominators.

• Divide each term by the LCM of the denominators.

What is the least common multiple (LCM) used to eliminate fractions in the second equation?

• 9

• 12

• 15

• 6

How are the coefficients aligned in the elimination method?

• By dividing each equation by a common factor.

• By subtracting one equation from the other.

• By multiplying each equation by a different number to make the coefficients equal.

• By adding a constant to each equation.

What is the result of subtracting the two equations after aligning the coefficients?

• The variable X is eliminated.

• The variable Y is eliminated.

• No variables are eliminated.

• Both variables are eliminated.

After finding the value of Y, what is the next step?

• Graph the equations.

• Find the value of X by substituting Y into one of the equations.

• Check for errors in calculations.

• Multiply the equations by another constant.

What is the final solution to the system of equations?

• X = 0, Y = 0

• X = 1, Y = -2

• X = 2, Y = -1

• X = -1, Y = 2