SOLUTION: Solve the system of equations for x and y : 2x+4y=76 y=3/4x+4 x= y=

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Question 1025732: Solve the system of equations for x and y :
2x+4y=76
y=3/4x+4
x=
y=
Found 2 solutions by stanbon, Cromlix:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations for x and y :
2x+4y=76
y=(3/4)x+4
------
Rearrange::
4y + 2x = 76
4y - 3x = 16
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Subtract and solve for "x":
5x = 60
x = 12
-----
Solve for "y"::
y = (3/4)x + 4
y = (3/4)12 + 4
y = 13
---------------
Cheers,
Stan H.
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Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
2x+4y=76
y=3/4x+4
Sort
2x + 4y = 76.......(1)
-3/4x + y = 4......(2)
Multiply Eq(2) by 4
2x + 4y = 76.......(1)
-3x + 4y = 16......(2)
Subtract Eq(2) from Eq(1)
5x = 60
x = 12
Substitute x = 12 into Eq(1)
2x + 4y = 76
2(12) + 4y = 76
24 + 4y = 76
4y = 76 - 24
4y = 52
y = 13
{12,13}
Hope this helps :-)