Solve a System of Equations with Elimination when Your Solutions are Fractions

The video tutorial explains how to solve equations using the elimination method. It begins by discussing the importance of aligning coefficients and finding the least common denominator (LCD) for the variables. The tutorial then demonstrates the application of the distributive property to simplify equations and solve for the variables R and T. The process includes multiplying equations to achieve the same coefficients, adding equations to eliminate variables, and solving the resulting equations to find the values of R and T.

What is the primary goal when using the elimination method in solving equations?

• To eliminate all variables

• To make the coefficients of one variable equal

• To find the greatest common factor

• To solve for both variables simultaneously

How do you determine the least common denominator (LCD) for coefficients in the elimination method?

• By adding the coefficients

• By finding the smallest number that both coefficients divide into

• By subtracting the smaller coefficient from the larger one

• By multiplying the coefficients together

What is the next step after multiplying equations to have the same coefficients for elimination?

• Divide the equations

• Multiply the equations again

• Subtract the equations

• Add the equations

After eliminating one variable, how do you solve for the remaining variable?

• By guessing the value

• By substituting back into one of the original equations

• By dividing both sides by zero

• By adding a constant to both sides

What is the final step in solving for both variables using the elimination method?

• Multiply the solution by a constant

• Ignore the solution and start over

• Check the solution by substituting back into the original equations

• Divide the solution by the number of variables