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..
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..Simultaneous Equations-Method of Elimination
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 =..
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 =..Substitution Method
The solution is x = -9 and y = -2. Solve 43x + 31y = 241 (i) 31x + 43y = 277 (ii) By adding (i) and (ii), we get 74x + 74y = 518 x + y = 7 (iii) By subtracting (ii) from (i) 12..
The solution is x = -9 and y = -2. Solve 43x + 31y = 241 (i) 31x + 43y = 277 (ii) By adding (i) and (ii), we get 74x + 74y = 518 x + y = 7 (iii) By subtracting (ii) from (i) 12..Second Method:
>-13x will be written as -10x - 3x] = 2x(3x - 5) - 1(3x - 5) = (3x - 5)(2x - 1) Resolve into factors: 7x 2 + 11x - 6 The product ..
>-13x will be written as -10x - 3x] = 2x(3x - 5) - 1(3x - 5) = (3x - 5)(2x - 1) Resolve into factors: 7x 2 + 11x - 6 The product ..Solve the system using elimination method:x13 + y12 = 15x2 - z13 = - ..
Solve the system using elimination method: x 1 3 + y 1 2 = 15 x 2 - z 1 3 = - 1 3 x - y 4 = 39 => (28, 156, 156) or (26, 156, 182) or (28, 204, 182) ..
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) the objective functio..
Solve the system of equations using Gaussian elimination method: 2x - ..
Solve the system of equations using Gaussian elimination method: 2 x - y = 10, x - z = - 1, and y + z = - 9 => x = 1, y = -10, z = 1 or x = 0, y = -1..
Solve the system of equations using Gausssian elimination method. x +..
Solve the system of equations using Gausssian elimination method. x + y = z 7 x - z = y - y = z => (8, 0, 7) or (1, 1, 7) or (7, 1, 8) or (0, 0, 0)..
Solve the system of equations using Gaussian elimination method. x = 1..
Solve the system of equations using Gaussian elimination method. x = 10 - 3 z y = 4 - 2 x 4 z = 5 y + 2 => (4, - 4, 2) or (1, - 2, 3) or (1, 2, 3) or..
Use the elimination method to solve the linear system.6x + 5y = 495y =..
Use the elimination method to solve the linear system. 6 x + 5 y = 49 5 y = 41 - 4 x => (4, 5) or (- 4, - 5) or (- 4, 5) or (4, - 5)..
Result
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