Form the PDE by eliminating a and b from z=a(x+y)+b
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Z = a(x+y)+b
Z = ax + ay + b
to eliminate we need the whole sum as the definite value of 20
so
Z = ax + ay + b
let
ax + ay + b = Z
so Z = Z
there fore
Z + Z = 20
2Z = 20
z = 10
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