Using Multiplication to Eliminate the 'x' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to
Subject: term
Transcript: TERMS. THE X-TERMS ARE NOT MULTIPLES OF EACH OTHER AND HAVE NO COMMON FACTORS. THAT'S ALSO THE CASE WITH THE Y-TERMS. MULTIPLYING ONE OF THE EQUATIONS BY
Using Multiplication to Eliminate the 'y' Variable
Solving a system of equations in which the variable terms are not multiples of each other and have no common factors, using multiplication to
Subject: term
Transcript: 'D FIND THE VALUE OF X FIRST. LOOK AT THE COEFFICIENTS OF THE Y-TERMS. WE WANT THEM TO BE THE SAME NUMBER WITH OPPOSITE SIGNS. WE'LL MULTIPLY BOTH SIDES OF
Using Least Common Multiples to Eliminate a Variable
A strategy that can sometimes make it easier to find the solution to a system of equations is using the least common multiple of the coefficients. The advantage to this strategy is that you will have small numbers in the system to work with, but it ...
Subject: term
Transcript: NARRATOR: THE WAY WE GO ABOUT SOLVING A SYSTEM OF EQUATIONS USUALLY DEPENDS ON THE TERMS IN THE EQUATIONS. WITH SOME SYSTEMS, WE HAVE A CHANCE TO
Using Factoring to Solve an Equation
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
Subject: term
Transcript: 'LL MULTIPLY BOTH SIDES OF THE EQUATION BY X MINUS 6 TIMES X MINUS 2. WE'LL START WITH THE FIRST TERM ON THE LEFT SIDE OF THE EQUATION. THE X MINUS 6'S CANCEL
Using Elimination Twice to Solve a System
To avoid working with fractions or other awkward numbers, it is sometimes preferable to eliminate twice instead of eliminating and then substituting.
Subject: term
Transcript: NARRATOR: WE'VE SEEN A STRATEGY FOR MAKING THE TERMS IN A SYSTEM MORE MANAGEABLE. BUT SOMETIMES THE TERMS DON'T CAUSE OUR DIFFICULTIES, THE SOLUTION
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.
Subject: term
Transcript: CAN BE ANY POSITIVE OR NEGATIVE NUMBERS, BUT NOT 0. THE SAME VARIABLE APPEARS TWICE IN THE TRINOMIAL. IN THE FIRST TERM, THE VARIABLE IS SQUARED. THIS
Writing Expressions in Their Simplest Form
A simplified expression is one in which each base is written only once, there are no negative exponents, and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying exp...
Subject: term
Transcript: WE CAN ONLY APPLY THESE RULES TO EXPRESSIONS THAT ARE MADE UP OF ONE TERM. THAT INCLUDES MONOMIALS LIKE THIS AND RATIONAL EXPRESSIONS LIKE THIS WHERE
Adding Like Terms
Demonstration of how to add like terms in an algebraic expression and application of this skill to a practical problem.
Subject: term
Transcript: NARRATOR: IN ALGEBRA, THE ONLY THINGS WE CAN ADD OR SUBTRACT ARE LIKE TERMS. THAT'S IMPORTANT. THE ONLY THINGS WE CAN ADD OR SUBTRACT ARE LIKE TERMS
When Elimination and Substitution are Equally Convenient
When a system of equations gives no clear direction toward either the substitution method or the elimination method, use the one you prefer.
Subject: term
Transcript: QUICK EITHER SINCE NEITHER EQUATION HAS BEEN SOLVED FOR A VARIABLE. LOOK AT THE TERMS IN BOTH EQUATIONS. BOTH HAVE A 6Y TERM. THAT'S HELPFUL IN USING