Download Key Concepts for Day 54 Quiz 1 on System of Linear Equations

Key Concepts for Day 54 Quiz 1 on System of Linear Equations:
System 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
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