Answers

2014-03-12T10:49:59+01:00
SOLUTION
BY SOLVING WILL FIND OUT THAT X IS 984 AND Y IS 9016.
IMPUTING THIS FIGURES INTO THE EQUATION YOU WILL FIND OUT 1=1
2 2 2
2014-03-12T15:06:15+01:00
Express everything to log₁₀.

log₁₀x + log₁₀y = log₁₀10000
log₁₀x + log₁₀4² = log₁₀1000

log₁₀ (x × y) = log₁₀10000
log₁₀ (x × 4²) = log₁₀1000

Cancel out log₁₀ from both sides.

xy = 10000
16x = 1000

From equation (2), x = 1000/16 = 62.5
Substitute 1000/16 for x in (1).

1000y/16 = 10000
1000y = 160000

Divide through by 1000.

y = 160

Therefore, x = 62.5, y = 160.

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