How Do You Use a System of Linear Equations to Find Coordinates on a Map?

How Do You Use a System of Linear Equations to Find Coordinates on a Map?

Note:

Like riddles? A word problem is just like a riddle! In this word problem, you'll need to find the solution to a system of linear equations solve the riddle and find a location on a map. Check it out!

Keywords:

  • problem
  • word problem
  • words
  • translate words to algebra
  • write system of equations
  • system of equations
  • solve system of equations
  • subtract equations
  • elimination
  • solve by elimination
  • consistent
  • independent
  • intersection
  • variable elimination
  • 2 equations
  • 2 unknowns
  • 2 variables

Background Tutorials

  • Definitions of Systems

      • What's a System of Linear Equations?What's a System of Linear Equations?

      What's a System of Linear Equations?

      A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.

      • What's a Solution to a System of Linear Equations?What's a Solution to a System of Linear Equations?

      What's a Solution to a System of Linear Equations?

      If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Definitions of Linear Systems

      • What's a Consistent Independent System of Equations?What's a Consistent Independent System of Equations?

      What's a Consistent Independent System of Equations?

      Looking at a system of equations with only one solution? That means that those equations intersect only at that one point. That kind of solution is called consistent and independent! This tutorial explains systems with one solution and even shows you an example!

  • Solving Systems Using Elimination

Further Exploration

  • Solving Systems of Equations

      • How Do You Solve a System of Equations by Graphing?How Do You Solve a System of Equations by Graphing?

      How Do You Solve a System of Equations by Graphing?

      There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!