# Problem Solving Using Linear Equations

Let’s now move on to an example and I will illustrate you how to use these steps to formulate linear equations. So, we use x for tens place and y for units place and as given x y = 7 Also, it’s been provided in the question that when we swap the digits of original the no. if x is on tens place and y on units place then the original no. Since, Linear equations has wide range of application such as problem on ages, numbers, time, speed and distance problems, Time-work problems, Functions, Arithmetic Progression etc.

Solution: You may find this question a bit confusing coz of its language. Just read the question and form equations using the information given like this.

This is shown in the examples involving a single person.

If the age problem involves the ages of two or more people then using a table would be a good idea. In 20 years, Kayleen will be four times older than she is today.

Write one of the equations so it is in the style "variable = ...": We can subtract x from both sides of x y = 8 to get y = 8 − x. Write one of the equations so it is in the style "variable = ...": Let's choose the last equation and the variable z: First, eliminate x from 2nd and 3rd equation.

Well, we can see where they cross, so it is already solved graphically. Let's use the second equation and the variable "y" (it looks the simplest equation). Now repeat the process, but just for the last 2 equations.

In narrative essays, less formal language can be appropriate, particularly when you're quoting others, but your essay should not read like a text message to a friend.