Term
How do you determine what ordered pairs are solutions of a system of equations?  

Definition
1.)Plug in each ordered pair, into each equation in the system.  2.)If an ordered pair generates a true solution when plugged into each system of equations, then it acts as a solution to a system of equations.  


Term
Which Ordered Pairs (1,A),(A,B), and (0,0) are Solutions of the following system of equations?
Bx+Ay=0 Ax+y=0  

Definition


Term
How do you graph a linear equation, that is not already in y=mx+b, form?  

Definition
1.)Isolate "y" on one side of an equal sign.  2.)Graph a point at (0,b)  3.)Move "m" units up from (0,b) and one unit to the right.  


Term
When a system of equations has one solution, where do you find that solution on the graph?  

Definition
The coordinates of the point of intersection give the solution.  


Term
When does a system of equations have no solution?  

Definition
When the lines are parallel, aka inconsistent.  


Term
When a system of equations have an infinite number of solutions?  

Definition
If two lines are identical  


Term
How do you graph this equation? y=mx+b  

Definition
1.)Graph a point at (0,b)  2.)Move "m" units up from (0,b) and one unit to the right.  


Term
How do you solve the following system of equations by the substitution method? AxBy=C Dx+E=y  

Definition
1.)Insert the equation that equals "y" in for "y" into the other equation, and solve for "x". AxB(Dx+E)=C  2.)Plug the value of "x", that was solved in the following equation, into the equation that equaled "y". Solve for "y".  3.)Write the solution to the system of equations as an ordered pair. ("x" value, "y" value)  


Term
If a system of equations is inconsistent, then the system will have how many solutions?  

Definition
No solution, it will generate a false statement.  


Term
If this system of equations, when using the elimination technique generates 0=0, what is the solution? xAy=B Cx+Dy=E  

Definition
Infinitely many solutions [x,1/A(xB)], where "x" is any real number.  


Term
How do you solve a system of equations by elimination?  

Definition
Edit the equations to where when they are added together, a variable is eliminated, then solve for the remaining variable, and reinsert the solved variable into one of the variables and solve for the other variable.  


Term
If a system of equations is inconsistent, if the solution statement is what?  

Definition


Term
If this system of equations, when using the elimination technique generates 0=0, what is the solution? Ax+By=C Dx+Ey=F  

Definition
x,((CAx)/B) where "x" is any real number  

