Ezetimibe and glimepiride used as anti hypercholesterolemia drugs. How to solve simultaneous equations using elimination method. In the present work, two simple uv spectrophotometric methods for simultaneous estimation of rabeprazole sodium and levosulpiride in combined dosage form and its application to determination of dissolution sample were reported. Focus 5 underlines cramers rule, which uses the determinants of square matrices to solve simultaneous equations. Simultaneous equation models are a type of statistical model in which the dependent variables are functions of other dependent variables, rather than just independent variables.
Substitute y 2 into either equation 1 or equation 2 above and solve for x. Development and validation of spectrophotometric methods. Simultaneous equations worksheet 1 includes questions involving the elimination method. The method was found to be simple, accurate, reproducible. So, the simultaneous equation method was developed for estimation of rab and lev from the pharmaceutical dosage form. Literature survey reveals that there are very few ultraviolet uv spectrophotometric methods available for the estimation of emt, tdf, cob, and elv individually, but there is no uv method for simultaneous estimation of this quad pill. The method for the estimation of fexofenadine and montelukast was carried out by using a uv visible double beam spectrophotometer shimadzu, model no. In uv visible spectroscopy, the lowwavelength uv light has the highest energy. Simultaneous uv spectrophotometric method for estimation. Only constants are on the right sides of the equations. Most of the pharmaceutical industries manufactures multicomponent formulation, as the treatment of many. These methods were validated according to the ich q2 r1 guidelines ich 2005. The uv spectrophotometric method developed was found to be simple, accurate, sensitive and precise for simultaneous estimation of valsartan and hydrochlorothiazide in combined tablet dosage form and can be successfully applied for the routine quality control analysis. Now equations 7 and 8 are two simultaneous equations with two unknowns in the mixture i.
Consider a situation of an ideal market where transaction of only one commodity, say wheat, takes place. Two wavelengths selected for the development of the simultaneous equations are 283 nm and 276 nm. Uvvisible spectroscopy, a simple, rapid, precise and highly accurate method for quantitative estimation is in great use now a day. Simultaneous equation method standard stock solution to prepare stock solution of val, 100 mg of val was placed in 100 ml volumetric flask and dissolved in 75 ml of methanol and the volume was made up to the mark with methanol.
Simultaneous equation method, and multicomponent mode method are simple, accurate, rapid, sensitive, precise and economic. Simultaneous equation method was used for the determination of these three drugs in pharmaceutical formulations. Assume that the number of buyers and sellers is large so that the market is a perfectly competitive market. A complexation, derivatization, extraction, evaporation, and sensitive free direct uv spectrophotometric method is developed and validated for the simultaneous estimation of some antiviral drugs such as emtricitabine emt, tenofovir. As the word says, in this method, the value of one variable from one equation is substituted in the other equation. In a two dimensional case, you first begin by selecting a particular variable that you want to eliminate. Uvvisible spectrophotometric estimation of montelukast. Method i simultaneous equation method if a sample contain two absorbing drug each of which absorbs at the. Consequently, it may be possible to determine both drugs by the technique of from method or simultaneous equation method 1922. This means some of the explanatory variables are jointly determined with the dependent variable, which in economics usually is the consequence of some underlying equilibrium mechanism. Working solutions of both drugs were scanned in the uv range nm.
Developing a single analytical method for estimation of individual drug from a multidrug composition is a very challenging task. A simple, specific, accurate and precise stability indicating uv spectroscopy method has been developed and validated for simultaneous determination of ezetimibe and glimepiride in bulk drugs and marketed formulation tablets. Using simple algebra one can eliminate one unknown to calculate the other. Simultaneous spectrophotometric method for determination. Mesalazine and prednisolone are widely aimed for bacterial cure and are recommended for patients with inflammation of the digestive tract ulcerative colitis and mild. When solving a system of equations where the variables are multiplied together 1. Simultaneous uv spectrophotometric methods have been reported for estimation of gliclazide and metformine hydrochloride in combine dosage forms. The solutions were scanned from 200400 nm and the spectrum was obtained. Simultaneous equations substitution method teaching. Method development for the estimation of emtricitabine and tenofovir by using uv simultaneous equation method. In this way, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved.
C x and c y are concentration of gliclazide and metformin hydrochloride in mgml in sample solution. The third method of solving simultaneous equations viz. In this present research work, it was proposed to develope and validate a new, simple and accurate uv method for simultaneous estimation of amlodipine besylate and losartan potassium in marketed dosage formulations. Spectrophotometric method for estimation of cefpodoxime.
Uv spectrophotometric method using simultaneous equation was developed. Research article new simple spectrophotometric method for. Abstract study on methods of simultaneous multicomponent analysis by jennifer bernice ashie many new instrumentation and different instrumental techniques. The method is applicable in the case of sample containing two drugs,each of which absorbs at the. Where, a 1 and a 2 are the absorbance of sample solutions at 227. The first method involved determination of imipramine hcl and chlordiazepoxide using the simultaneous equations and the second method involved absorbance ratio method. All simultaneous equations pdf worksheets target gcse maths for the uk national curriculum. Aceclofenac, absorbance ratio method, rabeprazole sodium, simultaneous equation method, spectrometric estimation original article introduction. There was marked enhancement in the solubility of pa in 1. Finally, focus 6 gives a few examples of real world applications of simultaneous equations. Cef showed absorbance maxima at 235 nm and ofl at 298. A simple, rapid, accurate and precise uv spectrophotometric method was developed for the simultaneous determination of diacerein dcn and aceclofenac acf in tablet dosage forms.
Hence, an attempt has been made to develop new simultaneous uv methods for its estimation in pharmaceutical dosage formulations with good accuracy, simplicity and sensitivity. From the overlain spectra two wavelengths, 223 and 271. Simultaneous equations worksheet 2 contains questions involving the substitution method. As the overlay spectrum of rab and lev shows that there was interference in quantitation of individual drug at their. The basic principle behind this technique is that the amount of light absorbed is proportional to the concentration of analyte. The method involved solving simultaneous equations based on measurement of absorbance at two wavelengths, 258 nm and 274 nm, max of. In uv visible spectroscopy, wavelength usually is expressed in nanometers 1 nm 109m. To develop a simple and cheap uv spectrophotometric simultaneous equation method for the simultaneous quantitative estimation of etodolac 400mg and paracetamol 500mg in tablets and validate as per ich guidelines. The substitution method is the algebraic method to solve simultaneous linear equations. Simultaneous method for estimation of fexofenadine and montelukast.
Solve to find the first unknown variable from the resulting rather shortened equation. Spectrophotometric methods for simultaneous estimation of. The simultaneous equation of uvvisible spectroscopic. Focus 4 deals with solving simultaneous equations by using matrices and matrix operations. New simple spectrophotometric method for the simultaneous. Divide both sides by the coefficient of the left side. Simultaneous equations method method was based on simultaneous equation method of vierodt. Solve simultaneous product equations using substitution to create a rational equation. Hence these methods can be employed successfully for the estimation of serratiopeptidase and diclofenac sodium in both bulk and. Simultaneous equations worksheets pdf containing questions and answers. It should be kept in mind that whatever method is undertaken for solving the pair of simultaneous equations the solution will remain the same, i. Development and validation of uv spectrophotometric. Two wavelengths selected for the development of the simultaneous equations are 256 nm and 222.
Multiply each equation by a suitable number so that the two equations have the same leading coefficient. The rightside constants have yintercept information. Simultaneous equations worksheets practice questions and. Part of a suite of videos for the resource showing how simultaneous equations can be used in the beer lambert law for chem. Elimination is one of the classical methods of solving a system of linear equations. The uv absorption spectra shows absorption maximum at 241, 224 and 245 nm respectively for sbt, tpl and abx. In some cases, this energy is sufficient to cause unwanted photochemical. Two equations were constructed based upon the fact that. The simultaneous equation method of analysis is based on the absorption of the drugs rabeprazole sodium and aceclofenac at their wavelength maxims. Imipramine has absorbance maxima at 251 nm, chlordiazepoxide has. Simultaneous equations as a tool in the spectrophotometric. From overlain spectra, wavelengths 245 nm of par and 344. Simultaneous equation method of uv spectrophotometric analysis multicomponent analysis.
To do this let equation 7 be multiplied by and equation 8 by. The developed method involves solving of simultaneous equations vierodts method. It follows from the above equations that radiation with shorter wavelength has higher energy. Study on methods of simultaneous multicomponent analysis. The present method involves the solving of simultaneous equations vierodts method. Simultaneous spectrophotometric estimation of salbutamol. Simultaneous equatuions by elimination, maths first. Simultaneous estimation of amlodipine and losartan by uv.
760 1346 850 1208 542 893 1256 117 764 277 1090 825 593 903 974 799 1414 511 1006 996 674 673 1029 382 30 23 485 869 787 1101 72 751 70 698 284