SOLUTION: Need help with solving each system by graphing. Appreciate any assistance. Dont understand it at all. y = -x + 2 y = x - 4 and...... y= -1/4x

SOLUTION: Need help with solving each system by graphing. Appreciate any assistance. Dont understand it at all. y = -x + 2 y = x - 4 and...... y= -1/4x - 1 y= 3/4x + 3

Question 395928: Need help with solving each system by graphing. Appreciate any assistance. Dont understand it at all.
y = -x + 2
y = x - 4
and......
y= -1/4x - 1
y= 3/4x + 3
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

1.

.........write in standard form

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

Subtract from 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)

........write in standard form

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

Let's look at the first equation

Multiply both sides of the first equation by the LCD 4

Distribute

---------

Let's look at the second equation

Multiply both sides of the second equation by the LCD 4

Distribute

---------

So our new system of equations is:

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