When linear equations consist of only one variable, it becomes easier for us to solve the equations. Such kind of equations represent a vertical (perpendicular to x- axis or parallel to y- axis) or horizontal straight line (perpendicular to y- axis or parallel to x- axis). Thus we get an intersection point on one of the two axes. Solving Linear Equations in One Variable can be thought of finding a real or imaginary value of any unknown variable in the equation.
To understand how we deal with such kind of linear equations, first we have to be sure about that expression consists of one variable only. If we have more than one variable in our equation, we would need that much number of equations to get values of unknown variables. For example, if we have a linear equation given as: 5x = 10. We can directly get value of 'x' by dividing both sides of equation with 5. Thus, x = 2. In case we have an equation of form x + 4 = 2 we would be taking all constant values to right side of equation, leaving the unknown part to the left. In this example we will get x = 2 – 4 = -2.
To graph a linear equation in one variable like in our above examples: for equation 5x = 10 we will be drawing a straight line intersecting x - axis at x = 2 parallel to the y - axis. Similarly, for equation x + 4 = 2 we will be draw a line parallel to y - axis and intersecting x - axis at x = -2. These straight lines will have a constant slope that is m = 0 at every point of intersection on any of the axes.
Topics Covered in Solving Linear Equations In One Variable
In geometry we may come across a situation where we need to solve for some unknown variables other than "usual" one. For instance, formula for area of a square with sides of length “s” is given as A = s * s. Here, solving for “s” for known value of area 'A'. This method of solving a formula for any known variable is known as literal equation solver. So solving...Read More
Equation or equality can be defined as an expression containing equal sign. There are different properties of equality here we will discuss addition and multiplication property of equality.
Addition property of equality: Addition property of equality states that both sides of expression should be equal in an equation.
Linear equation is an algebraic equation which may have both constant and variable terms. In other words, Linear equation is actually that expression which consists of equal sign and some variables and constants such as y + 3, y + 3x etc. Variable may be one or more than one. A non - linear equation can be converted into linear equation. Exponential t...Read More