Answer
Fill in the blanks are.
infinitely many solution.
dependent.
coincide.
Work Step by Step
The given two equations are
$ x=3y+2 $ ... (1)
$ 5x-15y=10 $ ... (2)
Substitute the value of $ x $ from equation (1) to equation (2).
$ 5(3y+2)-15y=10 $
clear the parentheses.
$ 15y+10-15y=10 $
$ 10 = 10 $
The solution set is infinitely many solutions.
The equations are called dependent.
In the graph we obtain two coincided lines.
