Question

Solve the equation 2y+6=y-7.
What is the value of y?

Answer 1

The value of y is -13.

Step-by-step Step-by-step explanation:

CONCEPT :

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

• Step 1 :- 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.

`\begin{gathered} \end{gathered}`

SOLUTION :

`\longrightarrow\sf{2y + 6 = y - 7}`

`\longrightarrow\sf{2y - y = - 7 - 6}`

`\longrightarrow\sf{\underline{\underline{y = - 13}}}`

Hence, the value of y is -13.

`\begin{gathered} \end{gathered}`

Verification :

`\longrightarrow\sf{2y + 6 = y - 7}`

Substituting the value of y.

`\longrightarrow\sf{2 * - 13 + 6 = - 13 - 7}`

`\longrightarrow\sf{ - 26+ 6 = - 20}`

`\longrightarrow\sf{ - 20 = - 20}`

`\longrightarrow\sf{\underline{\underline{LHS = RHS}}}`

Hence, verified!

—————————————————