# Linear Solver App; Example; Solution; Triangle Solver App - HP Prime Graphing Calculator Quick Start Manual

## Linear Solver app

The Linear Solver app solves 2×2 and 3×3 systems of linear equations. To open the
Linear Solver app, press ! and select Linear Solver.The Linear Solver app has two
pages: one for 2×2 systems and the other for 3×3 systems. By default, the 3×3 page is
displayed on opening.
Enter a value for the coefficient of each linear equation and note the solution given
below the equations. The solution shown constantly changes as you add or change the
coefficients of the equations.
The menu items are as follows:
—Moves the cursor to the entry line, where you can add or change a value.
You can also highlight a field, enter a value, and press E. The cursor automatically moves to the next field, where
you can enter the next value and press E.
—Displays the page for solving a system of 2 linear equations in 2 variables; changes to
—Displays the page for solving a system of 3 linear equations in 3 variables; changes to

### Example

Find the solution of the linear system 5x + 2y = 8 and 3x – y = 7.

### Solution

Tap
to display the 2x2 page and enter the coefficients and constants of both
equations, as shown in the figure at the right. (To enter a negative number, first press
m.)
As you enter values, the solution automatically updates. The solution you want appears
only when all coefficients and constants have been entered. In this example, the
solution is x = 2 and y = –1.

### Triangle Solver app

This app calculates the lengths of sides and the sizes of angles in triangles. To open the Triangle Solver app, press ! and
select Triangle Solver.
The lengths of sides are represented by a, b, and c, and the angle opposite each side is
represented by A, B, and C respectively. Enter any 3 values—one of which must be a
length—and the app will calculate the other values. The menu items are as follows:
—Moves the cursor to the entry line where you can add or change a value.
(You can also just enter a value and press E.)
or
—Toggles the angle measure between degrees and radians.
Note that when
is showing, the angle measure is degrees, and when
is showing, the angle measure is radians.
—Toggles between input forms for general- and right-angle triangles (the
latter requiring one less input).
—Calculates the remaining values.
Example
A triangle has sides of lengths 9 and 6. The angle opposite the side measuring 6 is 30°. Find the length of the third side.
42
when active.
when active.
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