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Start with the given system of equations:
Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.
So let's isolate y in the first equation
Start with the first equation
from both sides
Rearrange the equation
Divide both sides by
Break up the fraction
, we can now replace each
in the second equation with
to solve for
into the first equation. In other words, replace each
. Notice we've eliminated the
variables. So we now have a simple equation with one unknown.
Combine like terms on the left side
Subtract 6 from both sides
Combine like terms on the right side
Since this equation is never
true for any x value, this means there are no solutions. So the system is inconsistent.