8-2: Estimating Solutions of Simultaneous Linear Equations by Inspection

Key Concept

When you solve two-variable systems of linear equations, you are finding intersections of lines. Solving a two-variable system has three possible outcomes.

One solution The lines intersect. The equations have different slopes.

A graph of y = x − 1 and y = 2x − 3.

No solution The lines are parallel. The equations have the same slope but different y-intercepts.

A graph of y = x + 1 and y = x + 3.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties