how to solve by the substitution method

Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..

Substitution Method - Solve 2x - 9y = 0 (i) x - 18y = 27 (ii) From (i) 2x - 9y = 0 2x = 9y (iii) Substituting this value of x in (ii), we get, 9y - 36y = 54 - 27y = 54 y = -2 Substitute this value of y in (iii): = -..

If the integrand f(x) of the integral is not in an integral form the variable of integration x is changed to a suitable variable z by substitution and on differentiation and simplification, the new integral is found integrable. ..

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..

Method of Elimination - 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 = ..

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize..

Evaluation of definite integral by substitution - 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 st..

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 a mixture of copper (I) cyanide and s..

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 a mixture of copper (I) cyanide and sodium ..

Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..