You can
put this solution on YOUR website!# 1
Substitution:
Start with the first equation
Add 3y to both sides.
Move onto the second equation
Plug in
Distribute.
Combine like terms on the left side.
Subtract
from both sides.
Combine like terms on the right side.
Divide both sides by
to isolate
.
Reduce.
---------------------
Go back to the first isolated equation
Plug in
Multiply
Add
================================
So the solutions are
and
which form the ordered pair (-5, -2)
# 2
Elimination:
Start with the given system of equations:
Multiply the both sides of the first equation by -2.
Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms. Notice how the x terms cancel out.
Simplify.
Since
is
never true, this means that there are no solutions. So the system is inconsistent.
