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 169623: Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent:
y= x+4
3y-5x=6
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
-x+y=4
-5x+3y=6
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+4%2C%0D%0A++++-5%5Cx+%2B+3%5Cy+=+6+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-1%2Ax+=+4+-+1%2Ay, or x+=+4%2F-1+-+1%2Ay%2F-1. Substitute that
into another equation:
-5%2A%284%2F-1+-+1%2Ay%2F-1%29+%2B+3%5Cy+=+6 and simplify: So, we know that y=7. Since x+=+4%2F-1+-+1%2Ay%2F-1, x=3.

Answer: system%28+x=3%2C+y=7+%29.