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2x+3y=14
2x-3y=2
on adding we get
4x=16
x=4
and 2x+3y=14
2×4+3y=14
3y=14-8
3y=6
y=2
xy =8
Answered by
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Answer:
xy = 8
Step-by-step explanation:
Given Equations are 2x + 3y = 14 and 2x - 3y = 2.
On Squaring & subtracting, we get
⇒ (2x + 3y)² - (2x - 3y)² = 14² - 2²
⇒ 4x² + 9y² + 12xy - 4x² - 9y² + 12xy = 196 - 4
⇒ 12xy + 12xy = 192
⇒ 24xy = 192
⇒ xy = 8.
Therefore, Value of xy = 8.
Hope it helps!
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