Question

Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l

Answer 1

`\begin{gathered} y=(9)/(6)x-9 \\ l=(P)/(2)-w \end{gathered}`

Explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

`\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=(9)/(6)x-(54)/(6) \\ y=(9)/(6)x-9 \end{gathered}`
`\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=(P)/(2)-(2)/(2)w \\ l=(P)/(2)-w \end{gathered}`