# Solving Problems Using Simultaneous Equations

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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.

Lenin invests some amount in deposit A and some amount in deposit B. He gets 10% income on deposit A and 20% income on deposit B.

While the substitution method may be the easiest to grasp on a conceptual level, there are other methods of solution available to us.

One such method is the so-called addition method, whereby equations are added to one another for the purpose of canceling variable terms.

Several algebraic techniques exist to solve simultaneous equations.

Perhaps the easiest to comprehend is the substitution method.

Once this has been done, the solution is the same as that for when one line was vertical or parallel.

The terms simultaneous equations and systems of equations refer to conditions where two or more unknown variables are related to each other through an equal number of equations.

This gives an equation with just one unknown, which can be solved in the usual way.

This value is then substituted in one or other of the original equations, giving an equation with one unknown.

## Comments Solving Problems Using Simultaneous Equations

• ###### Worksheet on Simultaneous Linear EquationsMethod of.

Solving simultaneous linear equations with two variabl. Worksheet on Simultaneous Linear Equations. Practice each pair of the equation problems from the worksheet on simultaneous linear equations with the two variables and two linear equations. Solving simultaneous linear equations with two variables by using the method of substitution to solve.…

• ###### Solving Simultaneous Equations and Matrices -

Solving Simultaneous Equations and Matrices The following represents a systematic investigation for the steps used to solve two simultaneous linear equations in two unknowns. The motivation for considering this relatively simple problem is to illustrate how matrix notation and algebra can be developed and used to consider problems such as…

• ###### Solving word problems using equations by Maths2Measure.

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.…

• ###### Solving systems of equations by elimination video Khan.

Let's explore a few more methods for solving systems of equations. Let's say I have the equation, 3x plus 4y is equal to 2.5. And I have another equation, 5x minus 4y is equal to 25.5. And we want to find an x and y value that satisfies both of these equations.…

• ###### Solving Systems of Linear Equations Using Matrices

Solving Systems of Linear Equations Using Matrices Hi there! This page is only going to make sense when you know a little about Systems of Linear Equations and Matrices, so please go and learn about those if you don't know them already! The Example. One of the last examples on Systems of Linear Equations was this one…

• ###### Simultaneous linear equations - A complete course in algebra

In this case, the solution is not obvious. Here is a general strategy for solving simultaneous equations When one pair of coefficients are negatives of one another, add the equations vertically, and that unknown will cancel. We will then have one equation in one unknown, which we can solve. Upon adding those equations, the y's cancel…

• ###### Solving Simultaneous Equations using Matrices solutions.

How to use matrices to solve simultaneous equations or systems of equations, How to use the inverse of a matrix to solve a system of equations, with examples and step by step solutions, how to solve a system of equations by using a matrix equation, 3x3 matrix equation example, 2x2 matrix equation example, solving 3 simultaneous equations using matrices…

• ###### Simultaneous Equations - Mathematics GCSE Revision

Simultaneous equations and linear equations, after studying this section, you will be able to. Solving simultaneous linear equations using straight line graphs. The 2 lines represent the equations '4x - 6y = -4' and '2x + 2y = 6'. There is only one point the two equations cross.…