SOLUTION: 1.) X + Y = 48 2.) X - Y = 16 3). X multiplied by Y = 512 4). X divided by Y = 2 Question: X = ? Y = ?

Algebra ->  Signed-numbers -> SOLUTION: 1.) X + Y = 48 2.) X - Y = 16 3). X multiplied by Y = 512 4). X divided by Y = 2 Question: X = ? Y = ?       Log On


   



Question 1203013: 1.) X + Y = 48
2.) X - Y = 16
3). X multiplied by Y = 512
4). X divided by Y = 2
Question: X = ?
Y = ?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
1.) X+%2B+Y+=+48
2.) X+-+Y+=+16
3). X%2A+Y+=+512
4). X+%2FY+=+2

Question:
X+= ?
Y = ?
use first to equations and solve the system:
X+%2B+Y+=+48
X+-+Y+=+16
__________________ add both

X+%2B+Y%2BX+-+Y++=+48%2B16
2X++=+64
X++=+32
go to eq. 2
X+-+Y+=+16......, substitute X
32+-+Y+=+16

32+-+16=+Y+
+Y+=+16

check:
1.) X+%2B+Y+=+48=>32+%2B+16+=+48=>true
2.) X+-+Y+=+16=>32+-+16+=+16=>true
3). X%2A+Y+=+512=>32%2A+16+=+512=>true
4). X+%2FY+=+2=>32+%2F16+=+2=>true