Algebraic Solving of Pairs of Linear Equations Using Substitution

This video tutorial teaches how to solve pairs of linear equations algebraically using substitution. It begins with a review of solving one-variable equations and extends this knowledge to linear systems. The tutorial provides three examples, demonstrating substitution techniques, handling isolated variables, and combining like terms. Each example concludes with an algebraic check to ensure the solution satisfies both equations. The lesson emphasizes that equations can be solved in any order and highlights the convenience of substituting isolated variables.

What is a solution to a pair of linear equations?

• A single value that satisfies both equations

• A set of values that makes one equation true

• A pair of values that makes both equations true

• A single value that satisfies one equation

In the first example, what is the value of B when G equals 3?

• B equals 8

• B equals 5

• B equals 0

• B equals 3

In the second example, what is the ordered pair solution for B and G?

• (2, 6)

• (6, 2)

• (3, 5)

• (5, 3)

In the third example, what is the value of G when B equals 1?

• G equals 1

• G equals 2

• G equals 4

• G equals 3

What is the final ordered pair solution for B and G in the third example?

• (2, 2)

• (1, 2)

• (2, 1)

• (1, 1)