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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.
Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver
Distribute and multiply the LCM to each side
Combine like terms on the left side
Add 15 to 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.