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Systems of Linear Equations
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Systems of Linear Equations
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Systems of Linear Equations Exercises
Systems of Equations
A system of equations is a group of two or more equations. What, you were expecting robots?Sample ProblemThe two equationsform a system of equations.Another Sample ProblemThe three equationsalso fo...
Solving Systems of Linear Equations by Graphing
The solution(s) to a system of linear equations are all the point(s) where the lines intersect. To solve a system by graphing, we graph the lines and see where they meet up. Are they grabbing a cou...
Solving Systems of Linear Equations by Substitution
To solve linear systems by substitution, we solve one equation for one variable and then use that information to solve the other equation for the other variable. It's exactly the same as w...
Solving Systems of Linear Equations by Addition
When we have two equations, we can add them together to get a new equation. We don't even need to ask for their consent. Ifa = band c = d,we can add the lefthand sides of the equations and the rig...
Solving Linear Systems
Now, of course, comes the big question: if we're asked to solve a system of linear equalities and not told how, which method do we use? Oh, sorry. No, we're not going to ask you to prom. We meant t...
Solving Word Problems
Now that we've practiced turning words into linear equations, let's actually solve a couple of word problems. This is usually a threestep process:Find the linear equation being described. F...
Word Problems with Two Lines
Now we'll move on to some word problems that involve finding where two lines intersect—in other words, solving a system of equations. We'll start with word problems that are obvious about describ...
Translating a Word Problem into a System of Equations
To describe a word problem using a system of equations, we need to figure out what the two unknown quantities are and give them names, usually x and y. We could name them Moonshadow and Talulabelle...
Solving Word Problems with Systems of Equations
The best way to learn how to solve a word problem is to do it. Same goes for freestyle swimming, riding a bike, or writing a book about the ideological origins of the American Revolution. Okay, act...
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