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Browse High School Linear Equations
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Diophantine equations.
    Solving simple linear equations.


Probate Puzzle [12/15/2003]

Quadratic Equation [04/08/1997]

Quadratic Equation [7/10/1996]
Why is a quadratic equation "quadratic"?

Quadratic Equations [12/3/1995]




Simultaneous Equations [07/01/2002]

Solving two unknowns in two equations.

Simultaneous Equations with Floor and Remainder Functions [12/10/2001]
Let x, y, z be three positive real numbers such that x+[y]+{z}=13.2; [x]+{y}+z=14.3; {x}+y+[z]=15.1 ... Find the value of x.

Slopes of Perpendicular Lines [09/17/1998]
Why are the slopes of perpendicular lines negative reciprocals?

Solutions to Linear Equations [09/21/2001]
Can you specify the conditions under which a a system of linear equations has infinitely many solutions, a unique solution and no solution?

Solve for x; Find 5 Ordered Pairs [11/01/2002]
Two questions: Determine 5 ordered pairs that will satisfy the equation 4y = 8 - 2x. Solve for x: 3x/4 - 4 = 7 + x/2.

Solve for x, y, and z [7/27/1996]
How do I solve for x, y, and z in these three equations: 1/2y + 1/3z = 26, 1/3x + 1/4z = 23, and 1/2x + 1/4y = 28?


Solving Equations with Square Roots [03/28/2003]


Solving Multivariable Diophantine Equations [05/03/1998]
Finding general solutions to two diophantine equations.


Solving Systems of Linear Equations [02/09/1999]
Can you help me solve simultaneous equations?

Solving Systems of Linear Equations by Combination [11/11/2003]
An introduction to effectively using the combination method to solve a system of linear equations, for any number of equations and variables.

Speedometer Error and Tire Size [07/13/1999]
I need to know my exact speed at a given rpm based on tire size. How do I figure my speed in miles per hour?

Standard Form Equation of a Line [01/05/2007]
In the equation of a line, such as 2x - y + 3 = 0, why does the x term always have to have a positive coefficient? Why can't that equation be written as -2x + y - 3 = 0? Isn't that the same equation?

Standard Form of a Line [04/23/2002]
What is standard form? What does Ax+by = c mean and what do the letters stand for?

Standard Form of a Line (Ax + By = C) [10/07/2005]
In the standard form of a linear equation, Ax + By = C, what conditions do A, B, and C have to meet? Do you always have to have a positive integer for A? Do you have to have all the common factors of A, B, and C factored out?

Straight Line on the Graph [09/10/1998]

Substituting in the Point-Slope Form of a Linear Equation [02/05/2005]
In the point-slope equation y - y1 = m(x - x1), why is the point you are using, such as (3,-5), always substituted for the y1 and x1? Why can't it be substituted for the 'plain' x and the 'plain' y?

Substituting Parameters for Numbers [11/29/2001]

Subtracting One Equation from Another [05/30/2001]


Switching Dollars and Cents [10/07/1997]
How do I find an equation?


Systems of Linear Equations [11/3/1994]
It has been some time since I took algebra and my son has asked me the following question: Solve for each system of equations. . .



Transposing Equations [07/14/1998]

Two Equations with Two Unknowns [05/24/1999]
How do you solve simultaneous equations?

Typical Algebraic Linear Programming Problem [08/07/2004]

Un-learning Unknowns [10/12/2010]


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