Question 401667
Solve each system by substitution. Determine whether the
equations are independent, dependent, or inconsistent.

X=y+3
3x-2y=4

Here is what I came up with using the substitution method:

X = y + 3
3x - 2y = 4

Substituting the expression y + 3 for y from the 2nd equation into the 1st equation is as follows:

3x - 2(x + 3) = 4
3x - 2x - 6 = 4
3x - 2x - 6 = 4  (add/subtract like terms)
x - 6 + 6 = 4  + 6 (add 6 to both sides)
x = 10

Plugging in  If x = 10, then

10 = y + 3

10 - 3 = y + 3 - 3 (subtract -3 from both sides

6 = y


I found that the equations are independent of each other, because both sides does not equal.  Please correct me, if I'm wrong.