What is a simple equation ? Give example .
Show that if a simple equation is solved by any method ( error and trial method, separate the variable method , transpose method) then we get the same result.
Answers
A simple equation refers to a mathematical equation that expresses the relationship between two expressions on both sides of the 'equal to' sign. This category of an equation consists of a variable, usually in the form of x or y. Solving simple equations often require rearranging it.
The example of a simple equation is 4x - 15 = 25. Letters that are used to substitute for numbers in algebra is known as variables. However, there are certain letters and symbols that substitute for a fixed value in a simple equation (such as pi, which is always 3.142).
Let’s convert this statement into a mathematical equation. Let the number of remaining chocolates
be x. You have given two chocolates to each student. Therefore, the number of chocolates distributed is 2 × 40 = 80.
be x. You have given two chocolates to each student. Therefore, the number of chocolates distributed is 2 × 40 = 80.Number of remaining chocolates = Number of total chocolates − Number of distributed chocolates.
be x. You have given two chocolates to each student. Therefore, the number of chocolates distributed is 2 × 40 = 80.Number of remaining chocolates = Number of total chocolates − Number of distributed chocolates.⇒ x = 87 − 80 or, x = 7.
be x. You have given two chocolates to each student. Therefore, the number of chocolates distributed is 2 × 40 = 80.Number of remaining chocolates = Number of total chocolates − Number of distributed chocolates.⇒ x = 87 − 80 or, x = 7.Converting Equation into Statement
Let x = 4, LHS = RHS. The required solution is x = 4.
x = 4, LHS = RHS. The required solution is x = 4.Method of Balancing
x = 4, LHS = RHS. The required solution is x = 4.Method of BalancingThe equality of both the sides of an equation shows the balance between the two. This balance remains the same even if we add, subtract, multiply or divide both sides of the equation by the same number. Suppose we have to solve, x − 3 = 15. Add 3 to both sides of the equation.
x = 4, LHS = RHS. The required solution is x = 4.Method of BalancingThe equality of both the sides of an equation shows the balance between the two. This balance remains the same even if we add, subtract, multiply or divide both sides of the equation by the same number. Suppose we have to solve, x − 3 = 15. Add 3 to both sides of the equation.⇒ x − 3 + 3 = 15 + 3 or, x = 18.
Method of Transposing
Method of TransposingTransposing means changing the sides of the number in the equation. If a positive number is transposed, it becomes a negative number and vice-versa. The sign of the number gets changed. The basic operators also get changed.
Method of TransposingTransposing means changing the sides of the number in the equation. If a positive number is transposed, it becomes a negative number and vice-versa. The sign of the number gets changed. The basic operators also get changed.Addition becomes subtraction and vice–versa and the multiplication will become the division and vice–versa. Consider we have an equation, 5x + 14 = 244. We shift the numbers of LHS to RHS.
Method of TransposingTransposing means changing the sides of the number in the equation. If a positive number is transposed, it becomes a negative number and vice-versa. The sign of the number gets changed. The basic operators also get changed.Addition becomes subtraction and vice–versa and the multiplication will become the division and vice–versa. Consider we have an equation, 5x + 14 = 244. We shift the numbers of LHS to RHS.⇒ 5x = 244 − 14 = 230 or, x = 230 ÷ 5 = 46.
Consider an equation, 3x − 5 = 17. The possible statement for this equation is 5 taken away from thrice of a number gives 17.