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((V1 * A1)+(V2 * A2))/(V1 + V2) = A3
multiply both side by (v1+v2) and divide both sides by A3
(V1*A1+V2*A2)/A3=V1+V2
multiply out
V1+V2=V1*A1/A3+V2*A2/A3
subtract V2*A2/A3 and v1 from both sides.
V2-V2*A2/A3=V1*A1/A3-V1
consolidate V2
V2(1-A2/A3)=V1(A1/A3-1)
Divide both side by (1-A2/A3)
V2=V1(A1/A3-1)/(1-A2/A3)
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or
((V1 * A1)+(V2 * A2))/(V1 + V2) = A3
V1*A1+V2*A2=V1*a3+V2*a3
v2*a2-v2*a3=v1*a3-v1*a1
v2(a2-a3)=v1(a3-a1)
v2=v1(a3-a1)/(a2-a3)
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James
The pessimist complains about the wind; the optimist expects it to change; the engineer adjusts the sails.- William Arthur Ward (1921-1994)
Red-beard for President, 2020
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