Graphing a System of Equations by Eliminating the Fractions

The video tutorial demonstrates how to solve systems of equations using the elimination method. It begins by addressing the complexity of equations with fractions and simplifies them by multiplying through by the least common denominator (LCD). The instructor then explains how to align coefficients and solve the system by eliminating variables. The process concludes with finding the solution set for the variables.

What is the first step in simplifying a system of equations with fractions?

• Add all terms together

• Subtract the smallest term

• Divide by the largest coefficient

• Multiply by the least common denominator

When applying the distributive property, what must you ensure?

• Multiply every term in the equation

• Multiply only the first term

• Divide each term by the LCD

• Add the LCD to each term

How do you align coefficients in a system of equations?

• By adding a constant to each equation

• By dividing each equation by its coefficient

• By multiplying equations to make coefficients equal

• By subtracting the smaller coefficient from the larger

What is the solution set for the system of equations in the tutorial?

• (3, 4)

• (2, -5)

• (5, -2)

• (7, 0)

What is the purpose of using a multiplier in the elimination method?

• To simplify the equation

• To make coefficients equal for elimination

• To add more variables

• To change the variable names