# Solving Problems Using Linear Equations In mathematics, a linear equation is one that contains two variables and can be plotted on a graph as a straight line.A system of linear equations is a group of two or more linear equations that all contain the same set of variables.

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Now, you can always do “guess and check” to see what would work, but you might as well use algebra!

It’s much better to learn the algebra way, because even though this problem is fairly simple to solve, the algebra way will let you solve any algebra problem – even the really complicated ones.

Students need to use a pronumeral to represent the unknown number They then need to write an equation and solve it to find the value of the unknown number.

Due to the nature of the mathematics on this site it is best views in landscape mode.

Systems of equations crop up frequently in problems that deal with mixtures of two things—chemicals in a solution, nuts and raisins, or even the change in your pocket! Janine empties her purse and finds that it contains only nickels (worth 5 cents each) and dimes (worth 10 cents each).

If she has a total of 7 coins and they have a combined value of 45 cents, how many of each coin does she have?Systems of linear equations can be used to model real-world problems.They can be solved using a number of different methods: These equations are already written in slope-intercept form, making them easy to graph.Now we need to look at the graph to see which plan is better if she uses more minutes than that, and which plan is better if she uses fewer.You can see that the Vendafone plan costs more when she uses more minutes, and the Sellnet plan costs more with fewer minutes.What we want to know is how many pairs of jeans we want to buy (let’s say “\(j\)”) and how many dresses we want to buy (let’s say “\(d\)”).Always write down what your variables will be: equations as shown below.The first trick in problems like this is to figure out what we want to know.This will help us decide what variables (unknowns) to use.Or you might be considering two different phone contracts. The second company, Sellnet, charges per month, but calls cost only 8 cents per minute. You should see that Anne's choice will depend upon how many minutes of calls she expects to use each month.We start by writing two equations for the cost in dollars in terms of the minutes used.

## Comments Solving Problems Using Linear Equations

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Solving the solution of two variables of system equation that leads for the word problems on simultaneous linear equations is the ordered pair x, y which satisfies both the linear equations.…

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Here is a set of practice problems to accompany the Linear Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.…

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Simple word problems to solve using a single linear equation A proverb says "It is better one time to see, than 100 times to hear". This lesson shows you how to solve simple word problems.…

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Worked-out examples on solving linear equations are given below. Instructions are given step-by-step with detailed explanation by using addition, subtraction, multiplication and division for solving l…

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Free linear equation calculator - solve linear equations step-by-step…

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A worksheet with worked solutions. Students need to use a pronumeral to represent the unknown number They then need to write an equation and solve it to find the value of the unknown number. Australian Curriculum NSW MA4-8NA generalises numb.…

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Solving Systems of Linear Equations Using Matrices Homogeneous and non-homogeneous systems of linear equations A system of equations AX = B is called a homogeneous system if B = O. If B ≠ O, it is called a non-homogeneous system of equations…

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Worked-out word problems on linear equations with solutions explained step-by-step in different types of examples. There are several problems which involve relations among known and unknown numbers and can be put in the form of equations.…

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This algebra video tutorial shows you how to solve linear equations that contain fractions and variables on both sides of the equation. This video contains plenty of examples and practice problems.…

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Improve your math knowledge with free questions in "Solve linear equations word problems" and thousands of other math skills.…