SOLUTION: Solve the system of equations using the elimination/addition method and state the appropriate solution. x+(1/3y)=(5/12) 8x + 3y = 4

Click here to see ALL problems on Linear-equations

Question 1156320: Solve the system of equations using the elimination/addition method and state the appropriate solution.

x+(1/3y)=(5/12)

8x + 3y = 4
Found 3 solutions by MathLover1, stanbon, MathTherapy:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!

.......eq.1...both sides multiply by
.......eq.2
---------------------
.......eq.1......eq.1...both sides multiply by
.......eq.2......eq.1...both sides multiply by
-----------------------------
.......eq.1
.......eq.2
---------------------------------------subtract eq.2 from eq.1

..both sides multiply by

go to
.......eq.2, substitute

solution: (,)

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Solve the system of equations using the elimination/addition method and state the appropriate solution.
x+(1/3y)=(5/12)
8x + 3y = 4
---------------
Multiply thru the top equation by 8 to get::
8x + (8/3)y = 40/12
8x + (9/3)y = 48/12
---------
Subtract top from bottom and solve for "y"::
(1/3)y = 8/12
y = 24/12 = 2
-----
Solve for "x"::
8x + 3y = 4
8x + 6 = 4
8x = -2
x = -1/4
------------
Cheers,
Stan H.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Solve the system of equations using the elimination/addition method and state the appropriate solution.
x+(1/3y)=(5/12)
8x + 3y = 4

---- eq (i)
8x + 3y = 4 -------- eq (ii)
24x + 8y = 10 ------- Multiplying eq (i) by 24 ------- eq (iii)
- 24x - 9y = - 12 ----- Multiplying eq (ii) by - 3 ------- eq (iv)
- y = - 2

8x + 3(2) = 4 ------ Substituting 2 for y in eq (ii)
8x + 6 = 4
8x = 4 - 6
8x = - 2