Friday, September 9, 2011

Solving Systems of Equations 9-9

The graphing answer for the bell ringer showed that the two lines crossed in quadrant II.
The slope for the first equation was 2 (uphill) and the slope for the second equation was -4 (downhill)

When we solve a system of two equations in two variables without using graphs, why do we substitute twice?


When we solve a system of two equations in two variables without using graphs, why do we sometimes loof for or try to make terms that cancel each other out (such as 4x and -4x)?


When one of the equations already appears as an isolated "x =" or "y =", what method should you use?


The first part of solving a system of two equations in two variables is to temporarily make one of the variables go away.  You can use the _____________ method or the ____________ method to get one equation in one variable.

The second part of solving the system is to solve for one of the variables.


The third part of solving a system of two equations in two variables is to to bo back through the problem and _________________ what you found for one of the variables so you can bring back the other variable.


Write the solution of an independent and consistent system equations as an ordered pair, such as (-2, 5)


General approach for solving a system:  Make one variable temporarily go away so you have one equation, and solve it.  Use the result to back through the problem, plug it in to bring back the other variable.

No comments:

Post a Comment