Solving Systems of Equations

The video tutorial covers solving systems of equations using the elimination method. It explains the need for an extra step when coefficients are not opposites, involving multiplying by a negative number. The process of solving for X is detailed, followed by substituting the value of X into the original equations to find Y. The tutorial emphasizes the importance of writing down steps to avoid forgetting them. It concludes with checking the solution using graphing tools like Desmos.

Why is an extra step needed in the elimination method in this example?

• Because the coefficients are already the same.

• Because the equations are already balanced.

• Because the variables are already isolated.

• Because the coefficients are not the same number with opposite signs.

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

• To change the signs of the coefficients.

• To make the coefficients larger.

• To eliminate the variables.

• To simplify the equations.

After multiplying by a negative number, what happens to the equation 5X - 3Y = 14?

• It becomes 5X + 3Y = 14.

• It becomes 5X - 3Y = -14.

• It becomes -5X + 3Y = -14.

• It becomes -5X - 3Y = 14.

What is the next step after adjusting the signs of the coefficients?

• Divide the equations.

• Add the equations together.

• Subtract the equations.

• Multiply the equations again.

What is the value of X after solving the adjusted equations?

• 3

• 1

• 0

• 2

What should you do after finding the value of X?

• Substitute X back into one of the original equations.

• Solve for another variable.

• Multiply the equations again.

• Check the solution using a graphing tool.

Which equation is used to substitute the value of X?

• The first equation.

• The second equation.

• Both equations.

• Neither equation.

What is the value of Y after substituting X into the original equation?

• -2

• -4

• -1

• -3

What is the final solution for the system of equations?

• X = 1, Y = -1

• X = 1, Y = -2

• X = 1, Y = -3

• X = 1, Y = -4

What tool can be used to verify the solution of the system of equations?

• Textbook

• Spreadsheet

• Desmos

• Calculator