Question

What value of y will satisfy the given equation
y by 2y - 15 = 7 by 9

Answer 1

Given Equation

⠀

• $\sf{\dfrac{y}{2y - 15} = \dfrac{7}{9}}$

⠀

To find

• Value of y.

⠀

Solution

• Solving the L.H.S first and then we will find the value of y.

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{y}{2y - 15} = \dfrac{7}{9}}$

⠀

• Cross multiplying

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {9y = 7(2y - 15)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {9y = 14y - 105}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {14y - 9y = 105}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {5y = 105}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {y = \dfrac{105}{5}}$

⠀

$\mathfrak:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\purple{y = 21}}}}$

⠀

Hence,

• The value of y is 21.