SOLUTION: This system of equations still has me stumped. Your assistance to help me solve it by substitution method would be greatly appreciated. 2x - y = -4 3x + y = -1

Algebra ->  Absolute-value -> SOLUTION: This system of equations still has me stumped. Your assistance to help me solve it by substitution method would be greatly appreciated. 2x - y = -4 3x + y = -1      Log On


   



Question 338149: This system of equations still has me stumped. Your assistance to help me solve it by substitution method would be greatly appreciated.

2x - y = -4
3x + y = -1

Answer by kvlsravya(8) About Me  (Show Source):
You can put this solution on YOUR website!
Let us assume the given system of equations as,
2x - y = -4----(1)
3x + y = -1----(2)
Isolating y from (1), we get
y = 2x + 4
Substituting y in (2), we get
3x + (2x + 4) = -1
5x + 4 = -1
5x = -5 [Subtracting '4' from both sides]
x = -1 [Dividing by '5' on both sides]
Plugging in the value of x in the isolated equation that is
y = 2x + 4
y = 2(-1) + 4
y = 2
Hence, solution to the given system of equations is x = -1 and y = 2.