SOLUTION: The directions on my paper say to solve each system By graphing. Show your graphs and solutions. I am confused On how to solve and graph the problem y=3x+2 and y=2x+1(both on sa

Question 919136: The directions on my paper say to solve each system
By graphing. Show your graphs and solutions. I am confused
On how to solve and graph the problem y=3x+2 and y=2x+1(both on same question)
Please help?

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

A system of linear equations means or linear equations.
-you have linear equations
...eq.1
........eq.2
___________________
If these two linear equations , that of is called the to the of linear equations.The solution is where the equations 'meet' or intersect.
first, I will write your equations in a standard form:

...eq.1
........eq.2
___________________
now, solve system by graphing

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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