Determine the number of solutions the following system of equations will have: 1/3 y - 5 = 2x y = 15 + 6x

For this case we have the following system of equations:

1/3 y - 5 = 2x

y = 15 + 6x

The equations are linearly dependent, that is, there is a scalar that allows us to write an equation as a linear combination of the other.

We multiply the equation (1) by a scalar, which will be 3:

3 * (1/3 y - 5) = 3 * (2x)

Rewriting:

y-15 = 6x

y = 15 + 6x

Answer:

Therefore, if there is a solution, then there are infinite solutions.