6A: The Solution to an Equation
Overview
ALGEBRAIC EQUATIONS
An equation is a formal statement that one expression is equal to another. The expressions are connected by the equals sign =.
An algebraic equation is an equation which involves at least one variable.
LINEAR EQUATIONS
A linear equation contains at least a variable which can only be raised to the power 1.
An equation is a formal statement that one expression is equal to another. The expressions are connected by the equals sign =.
An algebraic equation is an equation which involves at least one variable.
LINEAR EQUATIONS
A linear equation contains at least a variable which can only be raised to the power 1.
Linear
3x+5=8 1/x = 3 |
Nonlinear
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SIDES OF AN EQUATION
The left hand side (LHS) of an equation is on the left of the = sign. The right hand side (RHS) of an equation is on the right of the = sign.
For example, 3x + 5 = LHS
THE SOLUTION OF AN EQUATION
3x + 5 = 8 above, the only value of the variable x which makes the x = 1.
The solution of a linear equation is the value of the variable which makes the equation true. In other words, it makes the left hand side (LHS) equal to the right hand side (RHS).
SOLVING EQUATIONS
Simple linear equations involving one unknown may often be solved either by inspection or by trial and error. But it is the most inefficient way to solve equations.
SIDES OF AN EQUATION
The left hand side (LHS) of an equation is on the left of the = sign. The right hand side (RHS) of an equation is on the right of the = sign.
For example, 3x + 5 = LHS
THE SOLUTION OF AN EQUATION
3x + 5 = 8 above, the only value of the variable x which makes the x = 1.
The solution of a linear equation is the value of the variable which makes the equation true. In other words, it makes the left hand side (LHS) equal to the right hand side (RHS).
SOLVING EQUATIONS
Simple linear equations involving one unknown may often be solved either by inspection or by trial and error. But it is the most inefficient way to solve equations.
Couts 6A Input
Other Input Sources
Exercises
6A:1 all, 2 first and last column (page 135)