Consistent System of Equations

Inconsistent System of Equations

Independent Equations in a Linear System

Dependent Equations in a Linear System

Classifying $\{y = 3x - 1,\; 6x - 2y = 12\}$ Without Graphing

Classifying $\{2x + y = -3,\; x - 5y = 5\}$ Without Graphing

Classifying $\{3x - 2y = 4,\; y = \frac{3}{2}x - 2\}$ Without Graphing

A business analyst is comparing the projected revenue of two different product lines by graphing their growth equations on a coordinate plane. Match the visual behavior of the lines on the graph to the number of solutions for the system.

A business analyst is comparing the projected revenue of two different product lines by graphing their growth equations on a coordinate plane. Match the visual behavior of the lines on the graph to the number of solutions for the system.

A quality control analyst is comparing the performance of two production lines using linear equations. If the analyst determines that the equations representing the production rates have the same slope but different y-intercepts, how many points of equality (solutions) does this system have?

A business analyst is evaluating two different revenue models. If both models are represented by the exact same line on a coordinate plane (coincident lines), the system of equations is said to have ____ solutions.

A financial analyst is comparing two cost-projection models represented by linear equations. If the analyst finds that both equations have the same slope but different y-intercepts, the system of equations has no solution.

A business analyst is categorizing pairs of linear models by the number of points where they are equal (solutions). Arrange these scenarios in order from the case with the FEWEST solutions to the case with the MOST solutions.

Conditions for Parallel Resource Models

Classifying Linear Models in Business Analysis

Cloud Storage Pricing Comparison

A financial analyst is comparing several pairs of cost-projection models represented by linear equations. Match each algebraic relationship between the models' slopes and y-intercepts to the resulting number of points where the two models will have equal costs (the number of solutions).