SOLUTION: Use the substitution method to solve the linear system. y = x - 4 3x - y = -8 I need help graphing the equations. Thank you, Shannon

Question 394281: Use the substitution method to solve the linear system.
y = x - 4
3x - y = -8
I need help graphing the equations.
Thank you,
Shannon
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

...write in standard form

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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-10. Since , x=-6.

Answer: .

now graph:

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

Subtract from 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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