Solving Systems of Linear Equations

The video tutorial explains how to solve a system of linear equations using the elimination method. It begins with an overview of different methods, then focuses on clearing fractions from equations by multiplying by the least common denominator. The tutorial demonstrates solving the system by making terms opposites and adding equations. It finds the solution as an ordered pair and verifies it graphically, ensuring the solution is correct.

Which method is NOT mentioned as a way to solve systems of equations?

• Factoring

• Graphing

• Substitution

• Elimination

What is the first step in clearing fractions from the second equation?

• Add a constant to both sides

• Divide by the greatest common factor

• Multiply by the least common denominator

• Subtract a constant from both sides

What is the least common denominator used to clear fractions in the second equation?

• Five

• Four

• Three

• Two

What happens to the y terms when the two equations are added together?

• They are halved

• They become equal

• They double

• They are eliminated

After eliminating the y terms, what is the resulting equation?

• 6x = 12

• 4x = 8

• 2x = 4

• 8x = 16

What is the value of x after solving the equation 6x = 12?

• 3

• 2

• 4

• 1

Which equation is used to find the value of y after determining x?

• 4x - 2y = 6

• 2x + 2y = 6

• x + y = 3

• 3x - y = 5

What is the value of y when x is substituted into the first equation?

• 1

• 3

• 2

• 0

What is the ordered pair solution to the system of equations?

• (0, 3)

• (1, 2)

• (2, 1)

• (3, 0)

What is the purpose of graphing the equations on the same coordinate plane?

• To check for parallel lines

• To determine the y-intercept

• To verify the solution

• To find the slope