Linear Equations in One Variable Linear Equations in One Variable Algebra we define the different types of equations that are known as algebraic equations. There are one of the equation that is known as the linear equation that means the highest power of the variable is equal to one known as the linear equation. In the linear equation there are one or more than one variable. In any equation if there is variable like p^2 then it will not be a linear equation, the maximum power in the equation of the variable is equal to one. In algebra linear equation is define as the simplest equation and all other equation are more complicated than the linear equation. Normally we can solve the linear equation as if there is an equation as 2 +3 = 5 ,is define as the linear equation and if there is an unknown variable in the equation as x + 3 = 5 is also come into the category of the linear equation and for solving the linear equation we have to follow some of the basic steps of solving linear equation. A linear equation is define as the equation that does not have the exponents or in which no two or more than two variables are multiplied with each other and also not define the root or square root of any variable or value. A linear expression is just the combination of the values and variables with maximum power that is one. There are several examples of linear equation as follows: a) 2 x + 3 = 7 or b) 5 p – 2 = 6 or Know More About :- Factoring
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c) 2 a = 7 a + 15 or d) 6 p – 2 q + 4 = 2 p + 5 q + 5 2p–q=8p–4q e) 2 s + 4 = 10 etc. In the linear equation (d) there are two unknown variables in the equation so there are two equation in the set that is known as the system of linear equations. For solving linear equations there are some predefined steps as follows: First of all for solving the linear equation shift all the variables at one side and all the constant values at one side. After shifting the variables and values solve it as the operations define into the equation but one thing should keep into the mind that at the time of the shifting of the variables and values change the sign means if there is a variable having positive sign then after shifting the variable it having the negative sign on other side of equal sign .It is also define as whatever do on one side must be done on other side of the equation. We can take one example for solving linear equation as follows. If there is one equation is a – 3 = - 5 is solved as Shift all the constant values at one side and variables at one side and change the sign of the variable as in the above equation we shift the -3 from the left side to the right side as a = -5 +3 a = -2 is the answer . It will check by putting the value of the variable as in the given equation -5 = -5 . so we can see that both side of equation having the equal value that means answer is correct. "Linear" equations are equations with just a plain old variable like "x", rather than something more complicated like x2 or x/y or square roots or such. Linear equations are the simplest equations that you'll deal with. You've probably already solved linear equations; you just didn't know it. Back in your early years, when you were learning addition, your teacher probably gave you worksheets to complete that had exercises like the following. Once you'd learned your addition facts well enough, you knew that you had to put a "2" in the box. Solving equations works in much the same way, but now you have to figure out what goes into the x, instead of what goes into the box. However, since you're older now, the equations can be much more complicated, and therefore the methods you'll use to solve the equations will be a bit more advanced. In general, to solve an equation for a given variable, you need to "undo" whatever has been done to the variable. You do this in order to get the variable by itself; in technical terms, you are "isolating" the variable. This results in "(variable) equals (some number)", where (some number) is the answer they're looking for. Read More About :- Multiply Polynomials
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