Methods of solving quadratic equations
There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..
Method of Solving Linear Programming Problems
Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..
Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..Solving LPP Graphical Method
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 obje..
Substitution Method
Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..
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 = -2 The solution is x = 4 and y = -2..
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 (by Addition)
Solve the Systems of linear equations by Method of Elimination (by Addition): 3x - 4y = 20 (i) 5x + 6y = 8 (ii..
Andy wanted to find the area of the large rectangle ABEF. She used dis..
Andy wanted to find the area of the large rectangle ABEF. She used distributive property to solve the area of the rectangle ABEF. Which of the methods shows Andy′s steps? => Method 1 or Method 2 or Method 4 or Method 3..
Substitution Method-Simultaneous Equations
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): = -..
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): = -..Choose the easiest method to solve the linear system.5x + 2y = 16x - 4..
Choose the easiest method to solve the linear system. 5 x + 2 y = 16 x - 4 y = - 10 => substitution method or linear combination method..
Use graph-and-check method to solve the linear system.4y = x - 12y + ..
Use graph-and-check method to solve the linear system. 4 y = x - 12 y + x = 2 => (4, - 2) or No solution or (2, - 3) or (2, 4)..
Result
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