Physics Question How to Derive an Equation from 4 others?

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How do I derive the following equation using given equations 1-4?

g=Aavg x (M+m)/m

(1) T1-Fr= Ma1
(2) mg-T1= ma1
(3)T2+Fr=Ma2
(4)mg-T2=ma2

It also says "hint": eliminate unknown Tension forces from equations 1-4, and then eliminate unknown Fr force. I did all of that but when it gets down to all the M's and m's I can't put it together. HELP!
How do I derive the following equation using given equations 1-4?

g=Aavg x (M+m)/m

(1) T1-Fr= Ma1
(2) mg-T1= ma1
(3)T2+Fr=Ma2
(4)mg-T2=ma2

It also says "hint": eliminate unknown Tension forces from equations 1-4, and then eliminate unknown Fr force. I did all of that but when it gets down to all the M's and m's I can't put it together. HELP!
 
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