SOLVING PROBLEMS USING SIMULTANEOUS EQUATIONS

To be solved, word or story problems must be translated into equations with algebraic expressions that contain constants and variables. may not need variables at all. Some are more conveniently soved with the introduction of or more variables. Usually, the number of resulting equations equals the number of the introduced variables. The simplest of the multivariable/equation problems is that with two variables and two linear equations. As always, there are many ways to approach the same problem. Below we look into two such ways of solving a linear system of two simultaneous equations.

Mathematics - Simultaneous Equations: Problem Solving - YouTube

solving simultaneous equations and problem solving - YouTube
Photo provided by
Flickr

How to solve simultaneous equation word problems - Duration: 13:29

In a previous chapter, solving for a single unknown in one equation was already covered. However, there are situations when more than one unknown variable is present in more than one equation. When in a given problem, more than one algebraic equation is true at a time, it is said there is a system of simultaneous equations which are all true together at once. Such sets of multiple equations may help solve for more than one unknown variable in a problem, since having more than one unknown in one equation is typically not enough information to "solve" any of the unknowns.

Simultaneous equations problem solving - YouTube

Have you ever had a simultaneous problem equation you needed to solve? When you use the elimination method, you can achieve a desired result in a very short time. This article can explain how to perform to achieve the solution for both variables.

Simultaneous Equations - Problem Solving 1 - YouTube
Photo provided by
Flickr
This is the 6th lesson in the series, "Simultaneous Equations." This lesson demonstrates how to solve word problems using simultaneous linear equations.

Source: Mindset Network

Year 10 Simultaneous Equations Problem Solving eg1

Do the problem yourself first! Mrs. B. invested $30,000; at 5%, and part at 8%. The total interest on the investment was $2,100. How much did she invest at each rate?Solution. (To change a percent to a decimal, see .)Again, in equation 2) let us make the coefficients whole numbers by multiplying both sides of the equation by 100: These are the simultaneous equations to solve. The solutions are: Samantha 30 coins, consisting of quarters and dimes, which total $5.70. How many of each does she have? To see the answer, pass your mouse from left to right

solving the two simultaneous equations - Art of Problem Solving

Several algebraic techniques exist to solve simultaneous equations. Perhaps the easiest to comprehend is the method. Take, for instance, our two-variable example problem:

Solve a Simultaneous Set of Two Linear Equations - WebMath

In this video we'll learn how to solve age word problems using systems of linear equations, or simultaneous equations. Specifically, we know that a man is older than his son, and that the ratio between their ages will be different in some years from now. We need to find their ages today.