Solve a system of equations by multiplying one equation by a multiplier then adding them

The video tutorial explains how to solve systems of equations using the elimination method. It covers handling coefficients with the same or opposite signs, finding the smallest common multiple, and applying addition or subtraction to eliminate variables. The tutorial demonstrates solving a system of equations step-by-step, ensuring variables are aligned and coefficients are adjusted for elimination. The process concludes with finding the values of x and y.

What should you do when the coefficients of the same variable in two equations have the same sign?

• Multiply the two equations

• Subtract the two equations

• Divide the two equations

• Add the two equations

How do you determine the smallest common multiple of two coefficients?

• By finding their greatest common factor

• By listing their multiples and finding the smallest common one

• By subtracting the smaller coefficient from the larger one

• By adding the coefficients together

What is the purpose of multiplying equations by a number in the elimination method?

• To simplify the equations

• To increase the number of solutions

• To change the signs of the coefficients

• To make the coefficients equal for elimination

Once you have eliminated one variable, what is the next step in solving the system of equations?

• Solve for the remaining variable

• Rearrange the equations

• Check for errors

• Multiply the equations again

After finding the value of one variable, how do you find the value of the other variable?

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

• By solving a new equation

• By guessing the value

• By using a different method