Question

Find the value of 4x^2 + 9y^2 if 2x + 3y =18 and x+y=5

Answer 1

Answer:

612

Step-by-step explanation:

Given-----> 2x + 3y = 18 , x + y = 5

To find ------> Value of ( 4x² + 9y² ) .

Solution-------> ATQ,

x + y = 5

=> y = 5 - x

ATQ , 2x + 3y = 18

Putting , y = 5 - x in it we get,

=> 2 x + 3 ( 5 - x ) = 18

=> 2x + 15 - 3x = 18

=> - x = 18 - 15

=> - x = 3

=> x = - 3

Putting x = - 3 , in , y = 5 - x

=> y = 5 - ( -3 )

=> y = 5 + 3

=> y = 8

Now, 4x² + 9 y² = 4 ( - 3 )² + 9 ( 8 )²

= 4 ( 9 ) + 9 ( 64 )

= 36 + 576

4x² + 9y² = 612