Problems on Simultaneous Equations
. Six years hence a man's age will be three times his son's age, and three years ago he was nine times as old as his son. Find their present ages. Let the present age of the man be x years, and the present age of his son be y years. 6 years hence the..
. Six years hence a man's age will be three times his son's age, and three years ago he was nine times as old as his son. Find their present ages. Let the present age of the man be x years, and the present age of his son be y years. 6 years hence the..Linear Equations in One Variable
will be = (x + 10) years After 10 years, Mr.R's age will be = (7x + 10) years By the given condition of the problem (7x + 10) = 3(x + 10) 7x + 10 = 3x + 30 7x - 3x = 30 - 10 4x = 20 or x = 5 Son's age is 5 years. Mr.R's age is 7 5 = 35 years Mr.R's age..
will be = (x + 10) years After 10 years, Mr.R's age will be = (7x + 10) years By the given condition of the problem (7x + 10) = 3(x + 10) 7x + 10 = 3x + 30 7x - 3x = 30 - 10 4x = 20 or x = 5 Son's age is 5 years. Mr.R's age is 7 5 = 35 years Mr.R's age..Problems on Limits
Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....
Equations Solving and Graph Problems
Question 1 - Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=..
Question 1 - Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=..Algebraic identity
An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..
Summary of Simultaneous Equations
Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, ..
Equations
Fundamentals of Equations Algebraic and transcendental equations; If f(x) is a polynomial in x, then f(x) =0 is an algebraic equation. Example; x 7 + 5x - 2=0. If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, t..
Summary
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation , we transpose all the terms containing the variable to one side and the constant terms to the other. The equation then reduces to th..
Ordered Pairs and Cartesian Product
). Its usefulness is seen through emphasis on mathematising practical situations.Solving of problems depends on the ability to understand and apply mathematical analysis to different situations. In this chapter, we will study some fundamental definitions and application..
Simultaneous Equations
A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal. Henc..
A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal. Henc.. Result
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