Solving linear algebraic equations
To symbolically solve the equations to the right (which are linear in x and y), type
 Variable x, y Eqn[1] = 2*x + 3*y - sin(t) Eqn[2] = 4*x + 5*y - cos(t) Solve( Eqn = 0, x, y )
The response to this Solve command is
 -> x = 1.5*cos(t) - 2.5*sin(t) -> y = 2*sin(t) - cos(t)

 2*x + 3*y   =   sin(t)     4*x + 5*y   =   cos(t)
To save input and/or input and output responses, type
 Save   SolveSampleLinearEqn.txt % Saves input (for subsequent re-use). Save   SolveSampleLinearEqn.html % Saves input and the program's output responses.

 Advanced: To write a MATLABŪ code to numerically solve for x and y for   0 <= t <= 3,   type Variable x, y Eqn[1] = 2*x + 3*y - sin(t) Eqn[2] = 4*x + 5*y - cos(t) Output t seconds, x meters, y meters Code Algebraic(Eqn = 0, x, y) [t = 0, 3, 0.5] SolveSampleLinearEqn.m ```% FILE: SolveSampleLinearEqn.1 % % t x y % (seconds) (meters) (meters) 0.000000E+00 1.500000E+00 -1.000000E+00 5.000000E-01 1.178100E-01 8.126852E-02 1.000000E+00 -1.293224E+00 1.142640E+00 1.500000E+00 -2.387632E+00 1.924253E+00 2.000000E+00 -2.897464E+00 2.234742E+00 2.500000E+00 -2.697896E+00 1.998088E+00 3.000000E+00 -1.837789E+00 1.272233E+00 ```