use substitution method to solve system
{4x-3y=-5}
{8x-6y=-10}
To solve the system using the substitution method, we need to solve one equation for either x or y and substitute it into the other equation.
First, let's solve the first equation for x:
4x - 3y = -5
4x = 3y - 5
x = (3y - 5) / 4
Now, substitute this expression for x into the second equation:
8x - 6y = -10
8((3y - 5) / 4) - 6y = -10
2(3y - 5) - 6y = -10
6y - 10 - 6y = -10
-10 = -10
Since -10 = -10 is a true statement, this means that the system is dependent and the two equations represent the same line. Thus, there are infinitely many solutions to the system.