Applying Elimination to Solve a System of Equations with a Independent Solutions

The video tutorial explains how to solve a system of equations using the elimination method. It begins by discussing when to add or subtract equations based on the coefficients of variables. The instructor chooses to eliminate the X variable by adding the equations, leading to a solution for X. Subsequently, the value of X is substituted back into one of the original equations to solve for Y. The final solution is X = 8 and Y = 1.

When should you add equations in the elimination method?

• When the coefficients are the same and both are positive.

• When the coefficients are the same and one is positive, one is negative.

• When the coefficients are different.

• When the coefficients are both negative.

What is the first step in the elimination process if you choose to eliminate the X variable?

• Add the equations.

• Multiply the equations.

• Subtract the equations.

• Divide the equations.

After eliminating one variable, what should you do next?

• Rearrange the equation.

• Solve for the remaining variable.

• Check the solution.

• Graph the equation.

What is the value of X in the given system of equations?

• 10

• 8

• 4

• 6

What is the final value of Y after substitution?

• 3

• 2

• 1

• 0