if 2 X + 3 Y is equals to 8 and x y is equals to Y then find the value of 4 x square + 9 y square
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Answer:
40
Step-by-step explanation:
2x+3y=8--------(1)
4x^2+9y^2-----------(2)
xy=y-----------(3)
x=y/y
x=1---------(4)
substitute (4) into (1)
2(1) + 3y = 8
2 + 3y = 8
3y = 8-2
3y = 6
y= 6/3
y = 2----------(5)
substitute (4) and (5) into (2)
=4(1)^2 + 9(2)^2
= 4(1) + 9(4)
=4+36
= 40.
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