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

Algebra.Com
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)   (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:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=7. Since , x=3.

Answer: .


RELATED QUESTIONS

Solve each system by substitution. Determine whether the equations are independent,... (answered by Mathtut)
Solve each system by substitution. Determine whether the equations are independent,... (answered by Fombitz)
Solve each system by substitution. Determine whether the equations are independent,... (answered by stanbon)
Solve each system by the substitution method. Determine whether the equations are... (answered by sofiyacherni)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)
Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)
Solve each system by substitution. Determine whether the equations are independent,... (answered by Alan3354)
Solve each system by substitution. Determine whether the equations are independent,... (answered by Alan3354)