mac1147_lecture4_1_b

mac1147_lecture4_1_b - L4 Linear Equations and Applications...

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

View Full Document Right Arrow Icon
40 L4 Linear Equations and Applications Equations An equation is a statement in which two expressions, at least one containing a variable, are equal. A solution set of an equation is the set of all real numbers that satisfy the equation. If an equation has no solutions, then 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 −=− Process of solving an equation is step-by-step replacing it with an equivalent 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
41 Linear Equations An equation of the form 0 ax b + = where a and b are real numbers and 0 a , is called a linear equation in one variable . Solving Linear Equations : 1. Simplify both sides as much as possible. If necessary, clear the equation of fractions by multiplying both sides by the LCM of the
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 1147 taught by Professor German during the Summer '08 term at University of Florida.

Page1 / 10

mac1147_lecture4_1_b - L4 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