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Start with the given system of equations:
In order to graph these equations, we
must solve for y first.
Let's graph the first equation:
Start with the first equation.
Subtract
from both sides.
Divide both sides by
to isolate
.
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of
.
-------------------------------------------------------------------
Now let's graph the second equation:
Start with the second equation.
Subtract
from both sides.
Divide both sides by
to isolate
.
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of
.
-------------------------------------------------------------------
Now let's graph the two equations together:
Graph of
(red). Graph of
(green)
From the graph, we can see that the two lines intersect at the point
)
. So the solution to the system of equations is
. This tells us that the system of equations is consistent and independent.
(