study about 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 vari..

Solving two equations simultaneously means to find the common solution of both the equations, i.e., a solution which satisfies both the equations. (Such a common solution, if it exists, can be shown to be unique..

Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = 0. Similarly, i..

1) - Graph the followin..

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..

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..

If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (1), we get, x = 3 x 15 = 45..

If two or more forces act on the same body, then the acceleration of the body can be written as the vector sum of the individual accelerations produced by each force. The acceleration of the body can be better expressed as the acceleration caused by the resultant force. ..

Laws of Chemical Combination - The study of reactions is one of the important areas of Chemistry. There are many aspects of a reaction like the rate of reaction, energy absorbed or evolved, mechanism of a reaction that can be evaluated only with weight and volume relationships. A stu..

Methods of Study - The branch of genetics, which deals with the inheritance of characters in human beings, is called human genetics. Eugenics is a branch of human genetics which is concerned with the use of knowledge of genetics for the welfare of the human race. Sir Archibald Garrod, a B..