Solving Systems of Equations Using Elimination

The video tutorial explains how to solve a system of equations using the elimination method. It demonstrates the process of adding equations to eliminate variables, solving for x, and finding corresponding y values. The tutorial also verifies solutions graphically using Desmos, highlighting the intersection points of a circle and hyperbola. The video emphasizes the importance of exact solutions over decimal approximations.

What is the primary goal when using the elimination method to solve a system of equations?

• To make the coefficients of one variable the same

• To add the equations without any changes

• To multiply both equations by zero

• To subtract the equations from each other

After adding the equations, what is the next step to solve for x?

• Divide both sides by two

• Multiply both sides by two

• Add two to both sides

• Subtract two from both sides

What must be done after finding x-squared equals four?

• Take the square root of both sides

• Add four to both sides

• Multiply both sides by four

• Subtract four from both sides

How do you find the corresponding y values for a given x value?

• By multiplying x with y

• By substituting x into the equation

• By dividing x by y

• By adding x to the equation

What are the solutions for y when x equals two?

• y equals plus or minus square root of four

• y equals plus or minus four

• y equals plus or minus square root of two

• y equals plus or minus two

What is the result when substituting x equals negative two into the equation?

• y equals plus or minus square root of four

• y equals plus or minus four

• y equals plus or minus square root of two

• y equals plus or minus two

What type of graph represents the equation x-squared plus y-squared equals six?

• A hyperbola

• An ellipse

• A circle

• A parabola

What type of graph represents the equation x-squared minus y-squared equals two?

• An ellipse

• A circle

• A hyperbola

• A parabola

How many points of intersection are there between the circle and hyperbola?

• Five

• Three

• Four

• Two

What does Desmos provide when verifying solutions graphically?

• Exact values

• Only positive values

• No values

• Decimal approximations