# Shared Flashcard Set

## Details

2-Precalculus:Homework:8.1:Notes
2-Precalculus:Homework:8.1:Notes
13
Mathematics
04/05/2016

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=0Ax+y=0------------
Definition
 (0,0)--------
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?Ax-By=CDx+E=y------------
Definition
 1.)Insert the equation that equals "y" in for "y" into the other equation, and solve for "x".Ax-B(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?x-Ay=B-Cx+Dy=-E---------------
Definition
 Infinitely many solutions[x,1/A(x-B)], 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 re-insert 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
 False--------
Term
 If this system of equations, when using the elimination technique generates 0=0, what is the solution?Ax+By=CDx+Ey=F---------------
Definition
 x,((C-Ax)/B) where "x" is any real number-----------
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