Solving Pairs of Linear Equations with Visual Models

What is a solution to a pair of linear equations?

• A single value that satisfies one equation

• A pair of values that satisfies both equations

• A graph that represents the equations

• A visual model of the equations

In Example 1, how many pencils are in each green box?

• 3 pencils

• 8 pencils

• 2 pencils

• 5 pencils

In Example 1, what is the algebraic representation of the number of pencils in the blue box?

• B = 8

• B = 3

• B = 5

• B = 2

In Example 2, what substitution is made in the second equation?

• G is replaced with B plus 4

• B is replaced with 2G plus 2

• G is replaced with 2B plus 2

• B is replaced with G plus 4

What is the final solution for the number of pencils in each box in Example 2?

• B = 1, G = 7

• B = 3, G = 5

• B = 2, G = 6

• B = 4, G = 8