Question

if 2x - 1 / 3 X = Y then the value of 9 X square + 1 / 4 x square in terms of Y is equals to

Answer 1

Answer:

Step-by-step explanation:

Given : $2x-\dfrac{x}{3} =y$

To find : 9x^2 + 1 / 4 x^2

= > 2x - x / 3 = y

= > ( 6x - x ) / 3 = y

= > 5x / 3 = y

= >  x = 3y / 5

Thus,

= > 9x^2 + ( 1 / 4 )x^2

= > x^2( 9 + 1 / 4 )

= > x^2{ ( 36 + 1 ) / 4 }

= > x^2 ( 37 / 4 )

$=> \bigg(\dfrac{3y}{5}\bigg)^2 \times \dfrac{37}{4}\\\\\\\ => \times \dfrac{9y^2}{25} \times \dfrac{37}{4}\\\\\\= > \dfrac{333y^2}{100}\\\\\\=> 3.33 y^2$

Hence,

the value of 9 X square + 1 / 4 x square in terms of Y is equals to 3.33 y^2.