Filter
Top Products
Chapter 3: Symbolic Manipulation 73
03SYMBOL.DOC TI-89/TI-92 Plus: Symbolic Manipulation (English) Susan Gullord Revised: 02/23/01 10:52 AM Printed: 02/23/01 2:12 PM Page 73 of 24
Use the
solve
(
„
1
) function to solve an equation for a specified
variable.
solve
(equation, var)
Solve
x + y
ì
5 = 2x
ì
5y
for
x
.
Notice that
solve
displays
only the final result.
To see intermediate results, you can manually solve the equation
step-by-step.
Consider a set of two equations with
two unknowns:
2x
ì
3y = 4
ë
x + 7y =
ë
12
To solve this system of equations, use any of the following methods.
Method Example
Use the
solve
function
for a one-step solution.
solve
(
2x
ì
3y=4 and
ë
x+7y=
ë
12,{x,y}
)
Use the
solve
function
with substitution (
|
)
for step-by-step
manipulation.
Refer to the preview at the beginning of
this chapter, which solved for
x =
ë
8/11
and
y =
ë
20/11
.
Use the
simult
function
with a matrix.
Enter the coefficients as a matrix and the
results as a constant column matrix.
Use the
rref
function
with a matrix.
Enter the coefficients as an augmented
matrix.
Solving an Equation
Note: An operation such as
|
2
Ù
subtracts 2x from
both sides.
Solving a System of
Linear Equations
Note: The
simult
and
rref
matrix functions are not on
the
„
Algebra
menu. Use
2I
4
or
the
Catalog.
|
2 x
|
y
p
·
1
«
5
x
«
y
|
5
Á
2x
|
5y