This is a free lesson from our course in Algebra I
This lesson introduces systems of linearequations and explains related concepts. A system of
equations is a set of equations in one or more variables, and its solution is a set of values for its variables
such that when these values are substituted into the equations, the equations are 'satisfied' i.e. the results are equalities. For example, x + y + z =0 and x - y - 4z= 0 is a system
of two equations in the three variables . A solution to a linear system is an assignment
of numbers to the variables such that all the equations are simultaneously satisfied.
A solution to the system above is given by x = 1 , y = 2 , z = -3 since it makes
both equations valid. (More text below video...)
(Continued from above) If this seems too complicated, it really isn't
--
when you hear the instructor explain it to you in the video above, you'll see how
easy it is. Sometimes, text based explanations of mathematical concepts seem complicated,
but when you actually hear from someone what they mean, they are not that difficult
to understand! You'll also look at inequalities here --
an inequality, unlike an equation, does not use the = symbol, but instead uses one
of these symbols: <, >, <=, >=. For example, 2x + 3y <=
5. In this inequality, whatever you plug in for values of x and y,
the expression is only valid if the value of 2x + 3y
is less than 5 or equal to 5.
Winpossible's online math courses and tutorials have gained rapidly popularity since
their launch in 2008. Over 100,000 students have benefited from Winpossible's courses...
these courses in conjunction with free unlimited homework help serve as a very effective
math-tutor for our students.
-
All of the Winpossible math tutorials have been designed by top-notch instructors
and offer a comprehensive and rigorous math review of that topic.
-
We guarantee that any student who studies with Winpossible, will get a firm grasp
of the associated problem-solving techniques. Each course has our instructors providing
step-by-step solutions to a wide variety of problems, completely demystifying the
problem-solving process!
-
Winpossible courses have been used by students for help with homework and by homeschoolers.
-
Several teachers use Winpossible courses at schools as a supplement for in-class
instruction. They also use our course structure to develop course worksheets.
