The goal of solving LINEAR equations is to
ISOLATE the VARIABLE to one side of the
“equals” sign.
1. Eliminate fractions by multiplying EACH TERM ON
BOTH SIDES of the equation by the lowest common
denominator. This step ensures that all denominators will cancel
out.
2. Use the distributive property to remove symbols of
grouping.
3. Combine like terms on each side of the equation.
4. If the variable appears on both sides of the equation, move
the smaller variable term to the other side. This step will
ensure that your variable is on one side only.
5. “Undo” the adding and subtracting portions of the
equation. Add or subtract numbers and letters to move them AWAY
from the variable.
6. “Undo” the multiplying and dividing portions of
the equation. Divide or multiply numbers and letters to move them
AWAY from the variable.
7. Check your solution: For an equation, substitute your
answer into the original equation to ensure that a true equality
statement results.
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Will Learn Algebra Better - Guaranteed!
Just
take a look how incredibly simple Algebrator is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebrator solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebrator can solve problems in all the following areas:
simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)
factoring and expanding expressions
finding LCM and GCF
operations with complex numbers
(simplifying, rationalizing complex denominators...)
solving linear, quadratic and many other equations
and inequalities
(including basic logarithmic and exponential equations)
solving a system of two and three linear equations
(including Cramer's rule)
