###### Asked in Algebra

Algebra

# How are algebraic expressions and equations solved?

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## Related Questions

###### Asked in Algebra

### How are algebraic expressions and equations alike?

Algebraic expressions are the written relations of or between
variables. For example, x2, 1/x, and x + y + z are all algebraic
expressions. Algebraic equations are simply algebraic expressions
that equate to something. For example, x2 = 4, 1/x = y, and x + y +
z = 42 are all algebraic equations. In general, one differentiates
algebraic expressions from exponential, trigonometric, hyperbolic,
and logarithmic expressions by requiring algebraic expressions to
be confined to polynomial expressions. I've added a link regarding
polynomials below.

###### Asked in Algebra

### Are there variables in exponents?

###### Asked in Chemistry, Algebra

### Non-examples of a formula?

###### Asked in Math and Arithmetic, Algebra

### How Is algebraic expressions solved?

If it is an algebraic expression, it cannot be solved.
Expressions can only be simplified, like going from:
6n + 2 + 11
6n + 13
An equation can be solved because it equals something else. For
example,
5n + 2 = 12 Next subtract the same amount from each side.
5n = 10 Now divide each side by 5 to isolate the variable.
n = 2 That's the final answer!

###### Asked in Math and Arithmetic, Algebra

### What is algebraic strategy for solving a system of equations when two expressions are the same?

An expression is the algebraic representation of a number - an
expression has a numeric value.
An equation is an algebraic statement claiming that two expressions
have the same numeric value. The equation has a Boolean value (true
or false).
If two equations can be expressed in an identical manner (the same
expression on both sides) - then these equations are the same
equation.
In order for a system of equations to have a solution, the number
of different equations in the system must be equal to the number of
variables in the system. If there are more distinct equations than
there are variables, than the system has no solution. If there are
less, then the system may have no solution, or infinitely many
solutions.
In the case described there is most likely an infinite number of
solutions