SOLUTION: x+y = 10, x+z =20, y+z=24

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Question 943516: x+y = 10, x+z =20, y+z=24
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%2By+=+10 ....eq.1
x%2Bz+=20 ....eq.2
y%2Bz=24 ....eq.3
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x%2By+=+10 ....eq.1...solve for x
x+=+10-y ....eq.1a ...substitute in eq.2

10-y%2Bz+=20 ....eq.2..solve for z
z+=y%2B20-10
z+=y%2B10 .....eq.2a ...substitute in eq.3

y%2By%2B10=24 ....eq.3..solve for y
2y=24-10
2y=14
y=14%2F2
highlight%28y=7%29
go to x+=+10-y ....eq.1a substitute 7 for y
x+=+10-7
highlight%28x+=+3%29

go to z+=y%2B10 .....eq.2a substitute 7 for y
z+=7%2B10
highlight%28z+=17%29