examples of intermediate algebra problems and solution


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Solution set
The set of ordered pairs (x,y), which satisfy the given inequation, is called the solution set of the inequation..
Example:
2x + 3y = 5, x - 2y = 6, -6x + y =8 A pair of values of x and y that satisfy a given linear equation in two variables is said to be its solution..
Methods of completing a square and to derive the formula for the solution of the quadratic equation
There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..
Simultaneous Equation
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..
Solving linear equations
The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equatio..
Linear Equations in One Variable
An equation of one variable and of first order (i.e., its highest power is one) is called a linear equation . Such an equation has only one solution. A solution is also called the 'root' of the given equatio..
Methods to Solve Simultaneous Equations
Simultaneous Equations - 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..
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