Solving Systems of Equations by Substitution

The video tutorial explains how to solve systems of equations using the substitution method. Mr. Uboat, a substitute particle physicist, needs to solve two equations to align particle cannons. The tutorial walks through solving the equations step-by-step, starting with isolating y in the second equation and substituting it into the first. The process involves distributing, combining like terms, and solving for x and y. The final solution is x equals five and y equals four, allowing the particle cannons to function correctly.

What is Mr. Uboat's evening job?

• Engineer

• Lab technician

• Math teacher

• Particle physicist

Which equation did Mr. Uboat decide to solve first?

• 2x - 3y = -2

• 4x + y = 24

• y = 24 - 4x

• x = 5

What does y equal in terms of x?

• y = 4 - 24x

• y = 4x - 24

• y = 24 - 4x

• y = 24 + 4x

After substituting y, what is the simplified form of the equation?

• 14x - 72 = -2

• 2x - 72 + 12x = -2

• 14x + 72 = 70

• 2x + 12x - 72 = -2

What is the value of x?

• x = 6

• x = 7

• x = 4

• x = 5

How do you find the value of y using x?

• y = 24 - 4x

• y = x - 24

• y = 24 + 4x

• y = 4x - 24

What are the final values of x and y?

• x = 6, y = 3

• x = 5, y = 4

• x = 3, y = 6

• x = 4, y = 5

What was the purpose of solving these equations?

• To align the particle cannons

• To complete a math homework

• To design a new experiment

• To grade student papers