Download Systems of Linear Equations Two or more equations in the same

Systems of Linear Equations
Two or more equations in the same variable
form
To solve a system of two equations with two
variables, you must
We have learned three methods for solving a
system of linear equations, they are
The three possible solutions to a system of
linear equations.
The steps of the Graphing Method are
The steps of the Substitution Method
The steps of the Addition-or-Subtraction
Method
a system of linear equations
find all ordered pairs (x, y) that make both
equations true.
the graphing method, the substitution method,
and the addition or subtraction method.
1. point or ordered pair - the lines cross
2. no solution – the lines are parallel
3. infinite solutions – the same line (equation)
1. Solve each equation for y to get y = mx +b
form.
2. Find b, the y-intercept, on the graph.
3. Use m, the slope, to graph the line.
4. Write the solution
5. Check
1. Solve one equation for one of the variables.
2. Substitute this expression into the other
equation
and solve for the other variable.
3. Substitute this value into the equation in
Step 1
to find the value of the first variable.
4. Check
1. Multiply one or both equations to get the
same
or opposite coefficients for one of the
variables.
2. Add or Subtract the equations to eliminate
one
variable.
3. Solve the resulting equation for the
remaining
variable.
4. Substitute this value into either original
equation
to find the value of the first variable.
5. Check.