I will give a simple example just to illustrate the idea, but all you have to do is multiply any of the equations by a constant to make them inversely additive values and add the equations.
.2x-.5y = 10
.5x+.3y = 15
.2 = 1/5 and .5 = 1/2 so if I multiply the first equation by -5 and the second by 2, we get the system:
-x+2.5y = -50
x+.6y = 30
(-x+2.5y = -50) + (x+.6y = 30) = (3.1y = -20)
Solving for the variables, we get y = -6.452 and x = 33.871
Chat with our AI personalities
The Cauchy kovalevskaya theorem tells us about solutions to systems of differential equations. If we look at m equations in n dimension, with coefficient that are analytic function, we can know about the existence of solutions using this theorem.
very possible, unless there is something preventing them from being true, like an undefined answer. The most common ways are through substitution, graphing, and elimination.
It depends on the equations.
i need to do this for math class
because you need maths in your life.. everyone does