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....
Algebraic identity
An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..
Problems on Simultaneous Equations
Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..
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 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, this variable (x) is elimina..
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..
Simultaneous Equations
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 equa..
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 equa..Linear equations in two variables
Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear..
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