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### Grade 6 - Mathematics12.77 Solving an Equation by Guess Method

 To find the solution of an equation, you may try all the values from the domain of a variable one at a time. However, it would be time consuming. Instead, you can guess the value of the variable for which the equation will be satisfied, i.e., LHS and RHS become identical. Example: Solve 2x+4 = 62, where x is an integer. Solution: The domain of the variable x is {1, 2, ...}, i.e., all integers. To solve the above equation, the trial and error approach is to go through all the values from the domain of the variable, substituting one at a time and checking to see if LHS = RHS. By observing the equation, you could see that the equation may be satisfied for a value of x around 30. Therefore, you may try x=29, 30, or 31. By trying these guessed values, you can verify that the root of the above equation is 29. Directions: Solve the following problems using the 'Guess Method'.
 Q 1: 2m + 2 = 26, find the value of m.Answer: Q 2: y/9 = 10, find the value of y.Answer: Q 3: 2 + 3a = 35, find the value of a.Answer: Q 4: 20p - 100 = 40, find the value of p.Answer: Q 5: y/8 = 3, find the value of y.Answer: Q 6: 15p - 60 = 90, find the value of p.Answer: Q 7: 10p - 50 = 10, find the value of p.Answer: Q 8: 3x - 5 = 25, find the value of x.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!