If 2x + 3y = 13 and xy = 6, then 4x power of 2 +9y power of 2=​

2 thoughts on “If 2x + 3y = 13 and xy = 6, then 4x power of 2 +9y power of 2=​”

1. Step-by-step explanation:

   first let’s find the values of x and y

   according to the statement

   xy=6

   so either the value must be 2 or 3.

   now if we take the statement 2x+3y=13

   According to the statement

   2x+3y=13

   2*2+3*3=13

   now the value of x is 2 and y is 3

   now let’s solve the problem

   4x²+9y²

   4*2²+9*3²

   8²+27²

   64+729

   793 is the answer

   hope it helps mark me brainliest

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2. Answer:

   52

   Step-by-step explanation:

   Solve the equation first-

   2x+3y=13

   2x=13-3y——

   x=13-3y/2 i

   now, xy=6

   substitute the value of x from (i)

   (13-3y/2)(y)=6

   -3y^2+13y-12=0 (note= ‘^’ stands for power or exponent)

   by factorising the equation we get,

   x= 3, 4/3

   now substitute the values of x and y in 9y^2+ 4x^2

   and you will get the answer.

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