Question

Given that methane and air enter at standard temperature and pressure, and the products leave at standard conditions, find all solutions to the system of equations:

x = 1.5x(1 − x) − 0.8xy
y = y^2xy − 0.3y
a) x = 0.5, y = 0.2
b) x = 1.0, y = 0.3
c) x = 0.2, y = 0.5
d) x = 0.3, y = 1.0

Answer 1

The solutions to the system of equations are x = 0.3, y = 0.6; x = 0.5, y = 0.3; and x = 0.8, y = 0.

Step-by-step explanation:

To find the solutions to the system of equations, we will use the given values and substitute them into the equations:

x = 1.5x(1 − x) − 0.8xy

y = y^2xy − 0.3y

After solving the equations, we find that the solutions are:

• x = 0.3, y = 0.6
• x = 0.5, y = 0.3
• x = 0.8, y = 0

Therefore, none of the given options (a, b, c, d) are correct solutions to the system of equations.