Question

if −8/−9 = −16/y, then y is equal to​

Answer 1

        Given data:- $\frac{-8}{-9}=\frac{-16}{y} .$

        To find:- Value of the expression.

        Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

           $\frac{-8}{-9}=\frac{-16}{y} \\\Rightarrow \frac{8}{9}=\frac{-16}{y}\\\Rightarrow 8 y=9(-16)\\\Rightarrow 8y=-144\\\Rightarrow y=\frac{-144}{8} \\\Rightarrow y=-18.$

     Hence we will get the value $y=-18.$

Answer 2

Given: $\frac{-8}{-9} =\frac{-16}{y}$

We have to find the value of y.

• For this first, we will Identify the variables and constants in the given equation.
• And then we Simplify the equation in LHS and RHS.
• Then we will transpose or shift the term on the other side to solve the equation further simplest.
• After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.
• Then the result will be the solution for the given linear equation.

We are solving in the following way:

We have,

$\frac{-8}{-9} =\frac{-16}{y}$

$\begin{array}{l} \\\Rightarrow \frac{8}{9}=\frac{-16}{y} \\ \Rightarrow 8 y=9(-16) \\\Rightarrow 8 y=-144 \\\Rightarrow y=\frac{-144}{8} \\\Rightarrow y=-18 .\end{array}$

Hence, the value of y will be$-18$.