Question

Determine if the following system of equations has no solutions, infinitely many

solutions or exactly one solution.
x + 6y = -5
3x + 18y = -15

Answer 1

infinitely many solutions

Explanation:

x + 6y = -5

3x + 18y = -15

Multiply the first equation by 3

3(x + 6y) = -5*3

3x + 18y = -15

The two equations are identical. This means they have infinite solutions along the line x+6y = -5