SOLUTION: Solve the following system of linear equations by the substitution method: -2x + 4y = 14 -3x + y = 6

Algebra ->  Linear-equations -> SOLUTION: Solve the following system of linear equations by the substitution method: -2x + 4y = 14 -3x + y = 6      Log On


   



Question 858696: Solve the following system of linear equations by the substitution method:
-2x + 4y = 14
-3x + y = 6

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From eq. 2,
+y+=+3x%2B6
Substitute into eq. 1,
-2x+%2B+4y+=+14
-x%2B2y=7
-x%2B2%283x%2B6%29=7
-x%2B6x%2B12=7
5x=-5
x=-1
Then
y=3%28-1%29%2B6
y=-3%2B6
y=3