Question

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

Answer 1

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.

Answer 2

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

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