SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. y = x + 4 3y - 5x = 6

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Question 297817: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y = x + 4
3y - 5x = 6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.y+=+x+%2B+4
2.3y-5x+=+6
Substitute eq. 1 into eq. 2 directly and solve for x,
3%28x%2B4%29-5x=6
3x%2B12-5x=6
-2x=-6
highlight%28+x=3%29
Now use eq. 1 to solve for y.
y=x%2B4
y=3%2B4
highlight%28y=7%29
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Graphical check of the solution.

Independent.