# Problem Solving Using Linear Equations

Now, Problem on ages can be categorized into three types, i.e.

When the digits are reversed, the number is increased by 27. I know it’s an easy one but still you should read it at least twice. Rearranging and simplifying the second equation in the form “y – x = 3” and solving both the equations we get, x = 2 and y = 5 Now let’s check once are we getting the right answer if x = 2 and y = 5 then the original no. But, today in this blog, we will be focused on only one type of problems i.e. These problems are very confusing and the language is a bit complex and we end up usually making up errors in the formulation of the equation.

So, I’ll discuss and try various different type of questions on this concept that will give you a thorough understanding of how to form Linear equations and solve them.

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.

Related Topics: More Algebra Word Problems How to solve Age Problems Involving A Single Person?

We use cookies to make interactions with our website easy and meaningful, to better understand the use of our services, and to tailor advertising.

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.

It’s been given the ratio between the present age of A and B is 5:3.

Thus, their present age would be 5x and 3x respectively.

## Comments Problem Solving Using Linear Equations

• ###### Applications of Linear Equations

For the word problems early in algebra, we generally want to set up our equations with one variable. Remember that we are in the chapter dealing with linear equations. Later in our study we will learn how to deal with multiple variable systems. For now, try to avoid using a second variable when setting up your equations. Video Examples on YouTube…

• ###### Solving Systems of Equations Word Problems

Solving Systems of Equations Real World Problems. Wow! You have learned many different strategies for solving systems of equations! First we started with Graphing Systems of Equations. Then we moved onto solving systems using the Substitution Method. In our last lesson we used the Linear Combinations or Addition Method to solve systems of.…

• ###### Systems of Linear Equations and Problem Solving

Systems of Linear Equations and Problem Solving. SOLVING SYSTEMS OF EQUATIONS GRAPHICALLY. We can use the Intersection feature from the Math menu on the Graph screen of the TI-89 to solve a system of two equations…

• ###### Solving Equations Using Algebra Calculator - MathPapa

Solving Equations Using Algebra Calculator. Learn how to use the Algebra Calculator to solve equations. Example Problem Solve the following equation for x 4x+7=2x+1…

• ###### Word Problems Involving Systems of Linear Equations

Word Problems Involving Systems of Linear Equations. Many word problems will give rise to systems of equations --- that is, a pair of equations like this You can solve a system of equations in various ways. In many of the examples below, I'll use the whole equation approach. To review how this works, in the system above, I could multiply the.…