Question

find the solution find the solution ​

Answer 1

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Given:

1. $5.5\left(y - \dfrac{3.2}{1.1}\right) = \dfrac{2.2}{5.5}$
2. $\dfrac{z}{4} - \dfrac{z-3}{6} = 1$

To Find:

1. Value of y
2. Value of z

Solution:

$1) \:\:5.5\left(y - \dfrac{3.2}{1.1}\right) = \dfrac{2.2}{5.5} \\ \\ \implies 5.5\left(\dfrac{1.1y - 3.2}{1.1}\right) = \dfrac{2.2\!\!\!\!\bold{/}^2}{5.5\!\!\!\!\bold{/}_5} \\ \\ \implies \dfrac{5.5\!\!\!\!\bold{/}^5}{1.1\!\!\!\!\bold{/}_1} \;(1.1y - 3.2) = \dfrac{2}{5} \\ \\ \implies 5(1.1y-3.2) = \dfrac{2}{5} \\ \\ \implies 25(1.1y - 3.2) = 2 \\ \\ \implies 27.5y - 80 = 2 \\ \\ \implies 27.5y = 82 \\ \\ \implies \bold{y = \dfrac{82}{27.5}}$

$2)\:\: \dfrac{z}{4} - \dfrac{z-3}{6} = 1 \\ \\ \implies \dfrac{3z}{12} - \dfrac{2z - 6}{12} = 1 \\ \\ \implies \dfrac{3z - 2z + 6}{12} = 1 \\ \\ \implies \dfrac{z+6}{12} = 1 \\ \\ \implies z+6 = 12 \\ \\ \implies \bold{z = 6}$

Hope it helps!!