Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Solving Equations An equation is a mathematical sentence that uses
Document related concepts
Perturbation theory wikipedia , lookup
Mathematical descriptions of the electromagnetic field wikipedia , lookup
Computational fluid dynamics wikipedia , lookup
Computational electromagnetics wikipedia , lookup
Navier–Stokes equations wikipedia , lookup
Routhian mechanics wikipedia , lookup
Transcript
Notes1.1 SolvingEquations Anequationisamathematicalsentencethat usestheequalsign(=)toshowtwo expressionsthatareequivalent. 3𝑥 + 2 = 8 5𝑥 − 1 = 4𝑥 + 2 Tosolveanequation,youneedtouseinverse (opposite)operationstoisolatethe variable—getthexbyitself: 𝑥 + 2 = 12 𝑥 + 2 − 2 = 12 − 2 𝑥 = 10 Thesearetheinverseoperationsthatyou needtoknow… Theinverseoperationofadditionis subtraction. 𝑥+8 = 14 𝑥 + 8 − 8 = 14 − 8 𝑥 = 6 Theinverseoperationofmultiplicationis division. 2𝑥 ! ! 2𝑥 ∙ ! = 12 ∙ ! !! ! !! ! = 12 = = !" ! !∙! ! 𝑥 = 6 Examples: 5𝑥 − 10 = 20 ! 𝑥 + 9 = 21 ! Yousolve: 10 = 2𝑥 + 1 4𝑦 + 3 = 5 NOTE:inanequationwithmultiple fractions,tryclearingthembymultiplying allofthetermsbytheLeastCommon Denominator 1 1 5 𝑦+ = 3 4 12 12 1 1 12 5 12 𝑦+ = 1 3 4 1 12 1 12 12 60 𝑦+ = 3 4 12 4𝑦 + 3 = 5 4𝑦 + 3 − 3 = 5 − 3 4𝑦 = 2 1 1 4𝑦 = 2 4 4 4 2 𝑦= 4 4 1 𝑦= 2
