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Algebra – Solve Simultaneous Linear Equations

by James
(Georgia)











































3x + 4y =5
6x + 8y =10

Solve this DEPENDENT SYSTEM of linear equations for x and y.

There are an infinite number of solutions for a Dependent System.

Note that there is not enough information to find a single, unique solution.

Comments for Algebra – Solve Simultaneous Linear Equations

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Oct 16, 2010
Algebra – Linear Equation
by: Staff


The question:

by James
(Georgia)



3x + 4y =5
6x + 8y =10


The answer:


Divide the 2nd equation by two:

6x + 8y =10

(6x + 8y)/2 =10/2

3x + 4y = 5

Reducing the 2nd equation to its simplest form shows that the 2nd equation and the first equation are the same. In other words, there is only one equation:

3x + 4y = 5


This is a linear equation. When you graph this equation, it will be straight line.

A linear equation can be written in several ways (Standard Form, Slope-intercept Form, Point-slope Form, Intercept Form, etc.). However, the two most popular ways are the Standard Form and the Slope-intercept Form:

Standard Form (this is what you started with)

3x + 4y = 5

Slope–intercept form (begin with the Standard Form, then solve for y)

y = -(3/4)*x + (5/4)



Thanks for writing.


Staff
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