SOLUTION: solve each system by either addition method or the substitution method 3y=x+14 2x-3y=-16

You just have 3y expressed via x. It is the first equation 3y = x + 14.

Simply substitute it into the second equation. You will get a single equation for x:

2x - (x + 14) = -16.

Simplify and solve it:

2x - x - 14 = -16,

x = -16 + 14,

x = -2.

Now substitute the found value of x = -2 into the first equation of the original system and find y:

3y = (-2) + 14 = 12.

y =  = 4.

Answer. x = -2, y = 4.