SOLUTION: Solve the below system of linear equations 7x+6y=-48 x-3y=-3

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the below system of linear equations 7x+6y=-48 x-3y=-3      Log On


   

Question 335627: Solve the below system of linear equations
7x+6y=-48
x-3y=-3
Found 2 solutions by Fombitz, kvlsravya:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.7x%2B6y=-48
2.x-3y=-3
Multiply eq. 2 by 2 and add the equations together,
7x%2B6y%2B2x-6y=-48-6
9x=-54
highlight%28x=-6%29
Then use either equation to solve for y.
-6-3y=-3
-3y=3
highlight%28y=-1%29

Answer by kvlsravya(8) About Me  (Show Source):
You can put this solution on YOUR website!
Let us suppose the given system of equations as
7x + 6y = -48 ---- (1)
x - 3y = -3 ---- (2)
Let us employ the elimination method to eliminate x.
Multiplying (2) by 7, we get
7x - 21y = -21 ---- (3)
Subtracting (1) from (3), we get
y = -1
Plugging in the value of 'y' in any of the equations (1), (2), we get
x = -6
Hence, the solution to the given system of linear equations is x = -6 and y = -1.