Solving a system of equations by substitution

The video tutorial explains how to graph equations using the substitution method. It begins with an introduction to substitution, followed by setting up equations where one variable is substituted for another. The tutorial then demonstrates solving these equations step-by-step, ensuring variables are isolated and solved correctly. Finally, it shows how to find the coordinate points from the solved equations, providing a complete understanding of the substitution method in graphing.

What is the purpose of using substitution in graphing equations?

• To find the value of one variable in terms of another

• To make the equations more complex

• To eliminate all variables

• To avoid solving the equations

In the given equations, what is the first step in the substitution process?

• Subtract one equation from the other

• Multiply both equations by a constant

• Add the equations together

• Plug the expression for y from one equation into the other

After substituting y = 4x - 1 into the second equation, what is the resulting equation?

• 4x - 1 = 2x + 5

• 4x - 1 = 2x - 5

• 4x + 1 = 2x - 5

• 4x + 1 = 2x + 5

What is the value of x after solving the equation 4x - 1 = 2x - 5?

• x = -2

• x = 5

• x = 2

• x = 0

What is the final coordinate point obtained after solving the equations?

• (-9, -2)

• (-2, -9)

• (2, 9)

• (0, 0)