SOLUTION: I need to solve by substitution. I must also determine if the equation is independent, dependent, or inconsistent. y = x + 4 3y – 5x = 6

Algebra ->  Expressions-with-variables -> SOLUTION: I need to solve by substitution. I must also determine if the equation is independent, dependent, or inconsistent. y = x + 4 3y – 5x = 6       Log On


   

Question 318771: I need to solve by substitution. I must also determine if the equation is 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 directly into eq. 2,
3%28x%2B4%29-5x=6
3x%2B12-5x=6
-2x%2B12=6
-2x=-6
highlight%28x=3%29
Then from eq. 1,
y=3%2B4
highlight%28y=7%29
There is one solution so the system of equations is independent.