intermediate algebra problems solutions


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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..
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..
Some general rules of inequalities
In this section, you will learn how so solve inequalities. "Solving" an inequality means finding all of its solutions. A "solution" of an inequality is a number which when substituted for the variable makes the inequality a true statemen..
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..
Summary
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 factor..
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 = 0, y = 0. Similarly, i..
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 equation.The process of finding the value of the unknown quantity for which the equation is true, is called sol..
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