# Find the general solution of the given system. dx / dt = 7x − y dy / dt = 5x + 3y.

We will use the concept of the parametric form of the expression in order to find the general form.

## Answer: General solution of the given system is dy / dx = 5x + 3y / 7x - y.

Let us see how we will use the concept of the parametric form of the expression in order to find the general form.

**Explanation**:

The equations in the parametric form are given as,

dx / dt = 7x − y

dy / dt = 5x + 3y

From above equations dt / dx = 1 / (7x - y)

On multiplying dy / dt by dt / dx we get the general form of the equation

Hence, (dy / dt) × (dt / dx) = 5x + 3y / 7x - y