solve by using the substitution method

We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved. Working rule for Ev..

Solve: 3x - 4y = 20 (i) 5x + 6y = 8 (ii) Multiply (i) by 3 and (ii) by 2: Adding the two, 19x = 76 Substituting x = 4 in (ii), we get 5(4) + 6y = 8 6y = 8 - 20 6y = -12 y = -2 The solution is x = 4 and y = -2..

Fractional distillation in a fractionating colum..

Method 1: Simplifying the fractional terms and then performing operation between the fractional terms. or Method 2: Performing the operatiion considering all the farctional terms and then simplifying the resultant fractio..

There are three methods of doing partial fractions, they are 1. Substitution of strategic values 2. Solving with co-efficient 3. Cover up method..

The graph of a linear equation ax+by = c is a straight line. Two distinct lines always intersect at exactly one point unless they are parallel (have the same slope..

Some of the methods of linear programming are: The Graphical Method The Analytical Method The Simplex Method In the graphical method, the constraints are actually drawn as straight lines and the optimal solution is found. This method is explained in deta..

Substitution of Diazonium Salts - This is a convenient method of preparation of aryl cyanides only. It is not suitable for preparing alkyl cyanides because alkyl diazonium salts are quite unstable even at low temperatures. It involves the treatment of benzene diazonium salt with..

Example for First Method Substitution of strategic values x - 2 --------------- (5x - 7)(x - 1) Given fraction should be written as : x - 2 A B --------------- = -------- + ------- (5x - 7)(x - 1) (5x - 7) ..

All amino groups -NH 2 , -NHR, -NR 2 are most powerful activating groups in aromatic electrophilic substitution reactions are ortho and para directing. Aniline gets instantaneously brominated at all of the three O, p - positions to give a white precipitate. The high reactivity is d..