mac1105_lecture5_1

mac1105_lecture5_1 - L5 Linear Equations and Applications...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
41 L5 Linear Equations and Applications An equation in one variable is a statement in which two expressions at least one containing the variable are equal. The solution set of an equation is the set of all real numbers that satisfy the equation. If an equation has no solutions, we say that the solution set is empty. The notation used: . Example . 53 51 x x += + If an equation is satisfied by every number, which is a meaningful replacement for the variable, it is called an identity . Example . 22 (1 ) 21 x xx + + The equations with the same solution set are called equivalent equations . Example . 25 3 x x −=− The process of solving an equation is step-by-step replacing it with an equivalent equation until the solution set becomes obvious.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
42 Linear Equations An equation equivalent to the one of the form 0 ax b + = where a and b are real numbers and 0 a , is called the linear equation in one variable . Solving Linear Equations : 1. Simplify both sides as much as possible. If
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

Page1 / 10

mac1105_lecture5_1 - L5 Linear Equations and Applications...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online