Question

frame linear equations in two variables present ages of Anil and Sunil in the ratio 5:6​

Answer 1

Algebra is a very powerful branch of Mathematics. It provides solution to real-world problems. It helps in transforming word problems into mathematical expressions in form of equations using variables to denote unknown quantities or parameters and thus, providing numerous of techniques to solve these mathematical equations and hence, determining the answer to the problem. Representation of problem it the key step of finding the solution because, until we have carefully described the actual problem into mathematical statements and have correctly form the relationship between the variables and constants using various techniques to solve these equations will be a futile activity. As, if we made mistake in forming up the relationship in mathematical terms then the solution that will be obtained would be based on the equation you have used and thus, will be worthless and not true. So, this step is a very important and crucial step and in this blog, we will learn how to form the correct relationship using Linear Equations. A Linear equation is the one which contains either constant or a combination of constant and variable. A single variable linear equation is generally denoted as “ax + b = 0”, where a and b are constants and a ≠ 0. A linear equation can contain more than one variable, two variable linear equation is usually written as ‘ax + by + c = 0’ and in general n-variable linear equation is “a1x1 + a2x2 + …+ anxn = 0”, where a1, a2, …, an are constants. Here, linear doesn’t mean linear in variable but linear in the power of variable i.e. the power of x, y, … should be 1 and not more than that. Therefore, an equation such as x2 + 3 = 0 cannot be called as Linear Equation, it is Quadratic equation.