Solving Systems of Equations Using Elimination

The video tutorial explains how to solve a system of equations using the elimination method, despite both equations being solved for y, which typically suggests substitution. The process involves rewriting equations, eliminating y terms, solving for x by factoring, and finding corresponding y values. The solutions are verified graphically using Desmos, confirming the points of intersection as solutions.

What method is initially suggested for solving the system of equations?

• Matrix method

• Trial and error method

• Substitution method

• Graphical method

What operation is performed on the first equation to align terms on one side?

• Add 3x to both sides

• Subtract 3x from both sides

• Multiply by 3

• Divide by 3

How do we make the y terms opposites in the elimination method?

• Multiply the first equation by -1

• Subtract the equations

• Multiply the second equation by -1

• Add the equations

What is the greatest common factor used in factoring the equation for x?

• x

• 3

• 1

• x^2

What is the value of x when x + 3 equals zero?

• -3

• 1

• 3

• 0

Which equation is used to find the y value when x equals zero?

• y = 4x - 3

• y = 3x + 4

• y = x^2 + 4

• y = -3x + 4

What is the y value when x is zero?

• 3

• 4

• 0

• -4

What is the y value when x is negative three?

• -5

• 5

• -9

• 9

Which tool is mentioned for graphically verifying the solutions?

• GeoGebra

• Desmos

• Wolfram Alpha

• Graphing calculator

What are the two points of intersection found graphically?

• (0, 5) and (-3, 4)

• (0, 4) and (-3, -5)

• (0, -4) and (3, 5)

• (0, -5) and (3, -4)