# 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

 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 www.solving-math-problems.com

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