Solving Equations with Different Methods

This video tutorial covers solving quadratic linear systems algebraically. It explains how to set equations to y equals, factor them, and solve by setting each factor to zero. The video also addresses handling non-trinomial equations using GCF and the difference of squares method. It concludes with examples and tips for solving these systems effectively.

What is the main focus of this video tutorial?

• Solving linear equations using substitution

• Solving quadratic-linear systems algebraically

• Solving quadratic equations using graphs

• Solving linear systems graphically

What is the first step in solving quadratic-linear systems algebraically?

• Graph the equations

• Use the quadratic formula

• Make both equations say y equals

• Find the intersection points

Why is it important to set both equations to y equals?

• To simplify the equations

• To set them equal to each other

• To eliminate variables

• To graph them easily

What should you do after setting the equations equal to each other?

• Graph the equations

• Move everything to one side to make it equal zero

• Use the quadratic formula

• Solve for x directly

How do you solve an equation once it is set to equal zero?

• Use substitution

• Factor the equation and set each factor to zero

• Use the quadratic formula

• Graph the equation

What method is used for equations that don't factor like normal trinomials?

• Graphing

• Using the quadratic formula

• Using GCF

• Completing the square

What is the GCF method used for?

• Solving equations using substitution

• Factoring equations that don't factor normally

• Solving linear equations

• Graphing quadratic equations

What type of equations are solved using the difference of squares method?

• Linear equations

• Quadratic equations

• Equations that are a difference of squares

• Equations with no real solutions

What should you do if the second equation already has y equals?

• Graph the equation

• Set the equations equal to each other

• Use the quadratic formula

• Solve for x directly

What is the next step after setting equations equal to each other?

• Use the quadratic formula

• Move everything to one side to make it equal zero

• Solve for y directly

• Graph the equations