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Question 401667:
Answer by charlth(1)   (Show Source):
You can put this solution on YOUR website! 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.
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