Substitution Method
Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..
Substitution Method-Simultaneous Equations
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) 12x - ..
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) 12x - ..Worked Examples on Simultaneous Equations
2x - y = 5 (1) When x is diminished by 4, fraction becomes or 3x - 12 = y 3x - y = 12 (2) 2x - y = 5 (1) Subtracting (1) from (2), we get x = 7 Substituting ..
2x - y = 5 (1) When x is diminished by 4, fraction becomes or 3x - 12 = y 3x - y = 12 (2) 2x - y = 5 (1) Subtracting (1) from (2), we get x = 7 Substituting ..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..
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..Linear Equations in One Variable
x = 6 Solve: R.H.S By cross multiplying: 3 (x 2 - 5x + 6) = (x - 1) (3x - 8) 3x 2 - 15x + 18 = 3x 2 - 8x - 3x + 8 3x 2 - 15x + 18 = 3x..
x = 6 Solve: R.H.S By cross multiplying: 3 (x 2 - 5x + 6) = (x - 1) (3x - 8) 3x 2 - 15x + 18 = 3x 2 - 8x - 3x + 8 3x 2 - 15x + 18 = 3x..Balanced Chemical Equations
(8 x 2) on the reactants side as well. Now the only unbalanced one is Chlorine. On the left hand side, there are 16 Cl. On the right hand side, firstly, there are 2 Cl in 2 KCl + 4 Cl in 2 MnCl 2 , making total of 6(2 + 4). Subsequently 10 more Cl atoms are to be accou..
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