# System of Linear Equations and Finding the Slope

## Original question text:

Help with system of linear equations?

For the following system of linear equations.3x-2y=1............(1)6x+7y=13..........(2)a) Find the Slope of each equation.## How can Algebrator help you with this problem?

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

You start by entering each equation in an intuitive math editor. You may enter each equation on a line of its own and the software will solve the problem step by step.

Graphing of any equation causes the software to first express that equation in its standard form - for linear equations this means the form "y=mx+b" where "m" is the slope.

Note: Parallel lines have equal slopes, perpendicular lines have inverse slopes of opposite polarity (line 'z' has a slope of 4, then perpendicular line 'y' has a slope of '-1/4').

Entering any graphable equation directly into a new worksheet and pressing "Graph All" will first result in that equation being placed into its standard form prior to graphing. For linear equations the standard form is "y=mx+b", where "m" is the slope and "b" the y-intercept.

To solve the equation graphically, simply enter each equation on its own line within the same worksheet and then press "Graph All".

Explanation for this (or any other) step is just a click away.

Some Important features are:

1.Flash demos, found under the drop-down menu "Help->Tutors".

The demos are also available online at "https://softmath.com/demos/", where you may simply select any of the ".htm"

files and the demo will play within your browser

2. Wizard button - for example, click the Wizard button and look under the category of "Line" to see the many useful

templates for exploring linear equations.

3. The Explain button, which provides the mathematical logic involved in the selected step.

We have to divide both side by 7 in order to isolate the variable in this linear equation.

You can see the rest of the step-by-step solution process by clicking the "Solve step" button several times.

Now that you have both equations expressed in their standard line form we can graph them and also use the "Find the slope of a line" wizard in order to determine the slope.

Just copy each equation and paste them using the Wizard. An explanation willl be obtained by clicking the "Explain" button.

Equation 2:

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