To solve a system of equations means to
find all replacements of the variables that make all of
the equations true at the same time.
The graphing method consists of graphing each
equation on the same coordinate system and then looking
for the point or points of intersection.
The substitution method consists of the following
steps:
1. Solve one of the equations for one of the variables.
2. Substitute the expression that you obtain into the
other equation.
3. Solve the resulting equation.
4. Substitute that solution into either of the original
equations to find the value of the other
variable.
5. State the solution.
The addition method consists of the following
steps:
1. Multiply one or both of the equations by a constant
or constants so that the coefficients of
one of the variables become opposites.
2. Add corresponding members of the equations to obtain
a new equation in a single
variable.
3. Solve the derived equation for that variable.
4. Substitute the value of the found variable into either
of the original equations, and solve
for the second variable.
5. State the solution.
