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Algebra Level 1

Please answer this problem for me.

What is the word being described in this set of interrelated equations when the answer is 1.

If:

S = 8 A = S 2 R = 2 E 2 + 2 E = 8 S 2 A T = A S + 2 ( R + E 2 + S ) ( E R 1 ) S\quad =\quad 8\quad \\ \\ A\quad =\quad { S }^{ 2 }\\ \\ R\quad =\quad 2{ E }^{ 2 }+2\\ \\ E\quad =\quad \frac { 8\sqrt { { S }^{ 2 } } }{ A } \\ \\ T\quad =\quad \frac { \frac { A }{ S } \quad +\quad 2 }{ (R\quad +\quad { E }^{ 2 }\quad +\quad S)\quad -\quad (ER\quad -\quad 1)\quad }

STARE = S x R E T + A S\quad x\quad RET\quad +\quad \sqrt { A }

RATES = A S x R x ( E + T ) \frac { A }{ S\quad x\quad R\quad x\quad (E\quad +\quad T) }

TEARS = A x 8 3 R E T S + R 2 \frac { A\quad x\quad \sqrt [ 3 ]{ 8 } }{ RETS\quad +\quad { R }^{ 2 } }

TARES = R E A T S A ( S x R ) 84 \frac { REATS }{ A\quad -\quad (S\quad x\quad R) } -84

TARES TEARS RATES STARE

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1 solution

Stephard Donayre
Nov 28, 2014

These are the answers for each letter.... S = 8, A = 64, E = 1, R = 4, T = 1 .... Just substitute these answers to the expression in the word RATES and the final answer is 1.

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