How to solve a system of equations using the addition method, 2w+5y= -24; 3w-5y=14

The video tutorial explains how to solve a system of equations using the elimination method. It begins with an introduction to the method, comparing it to substitution. The teacher outlines the steps for elimination, emphasizing aligning variables and identifying coefficients. An example problem is solved, demonstrating the process of adding equations to eliminate a variable. The tutorial concludes with solving for the remaining variables and addressing student questions.

Why might elimination be preferred over substitution when solving systems of equations?

• Elimination is always faster.

• Substitution is more complex.

• Elimination works only for linear equations.

• Substitution requires variables with coefficients of one.

What is the first step in the elimination method?

• Align the variables in each equation.

• Multiply the equations by a constant.

• Subtract one equation from the other.

• Add the equations directly.

How do you eliminate a variable using the elimination method?

• Switch the coefficients of the variables.

• Divide the equations by the variable.

• Add or subtract the equations to cancel out a variable.

• Multiply both equations by zero.

After eliminating one variable, what is the next step?

• Multiply the remaining equation by a constant.

• Rearrange the equations.

• Solve for the remaining variable.

• Check the solution with a graph.

What should you do after finding the value of one variable?

• Use it to find the other variable by substitution.

• Divide it by the number of equations.

• Ignore it and solve the other equation.

• Multiply it by the coefficient of the other variable.