You can
put this solution on YOUR website!Steps to solve a system of equations by the substitution method:
In general, if you solve a system of equations and the result is a true statement, such as
, the system has
many
; if the result is a false statement, such as
, the system has
.
We will start with an example to show the steps in solving a system of equations by the substitution method:
Use substitution to solve the system of equations #
->
and #
->
.
Step 1:
Solve one of the equations for
or
. Let it be: solve for
from equation #
since the coefficient of
is
.
Step 2:
Substitute this value into the other equation. Use the #
equation.
. use the #
equation.
..substitute
for
.. distribute
Step 3:
Solve this equation.
.. solve for
..divide both sides by
Step 4:
Find the value of the other variable using substitution into either equation.
. use the #
equation
substitute
for
.solution for
The solution to the
is:
(
,
) = (
,
)
Check: Substitute
for
and
for
in each of the original equations and check for true statements.
