Algebra Answers Algebra Answers Let us see how to get the Algebra Answers, for the problems related to Algebra. To get the Algebra Answers, we mean that we need to get the answers to the algebraic expressions and equations. Let us first talk about the algebraic expressions. We know that the algebraic expressions are formed by the combination of one or more variables. To get the numerical value of the given expression, for which the values of all the variables in the expressions are given in the numerical form. For getting the solution, we will simply solve the expression by substituting different numerical values to the variables. For this we need to take care of the operators and the hierarchy of operations to be performed. Let us consider the following expression: 2 * x^2 + 3y + x , where we have x = 2 and y = 3 To get the solution to the given expression, we say that we will put the value of x and y and then get the numerical value for it, which we call is the solution to the given expression for the particular given values. So we proceed as follows:
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2 * 2^2 + 3 * 3 + 2 First we solve the powers of the numbers and we get: =2*4+9+2 =8+9+2 = 19 Ans Now we will consider the algebraic equation. To solve the algebraic equation, we mean to get the value of the given variable in the equation. So now we say that the equation is a linear equation, quadratic equation or a cubic equation. In case it is a linear equation, next we check if it is a single equation with one variable or the pair of equations with two variables. Both the equations are solved by different methods. In case we have a linear equation with one variable, we say that the value of the variable, which satisfies the given equation, is called the linear equation with one variable. In such a case we take the variable to one side of the equation and the constant to the side of the equation and thus we get the result. In another case, if we have the pair of equations and we need to get the solution to the pair of equations, then we say that the solution can be either calculated by the graphical method of solving the equation or by the method of solving the equation by the method of solving the equation with algebra. In this method we have different algebraic methods to get the solution to the given pair of linear equations. They are 1. By substitution Method 2. By substitution Method, 3. By the method of cross multiplication.4
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When we say that we have got the solution for the pair of equations, we mean that the values of x and y, which we get after finding the solution will satisfy both the linear equations. While solving the equations by graph, we will plot both the lines of the graph and the coordinates of the meeting point of the two lines.
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