Question

7+5y=-13 solve for y

Answer 1

5y= -13-7

5y=-20

5y = -20

5 = 5

y = -4

Answer 2

`\large\displaystyle\text{$\begin{gathered}\sf 7+5y=-13 \end{gathered}$}`

Subtract 7 from both sides.

`\large\displaystyle\text{$\begin{gathered}\sf 5y=-13-7 \end{gathered}$}`

Subtract 7 from −13 to get −20.

`\large\displaystyle\text{$\begin{gathered}\sf 5y=-20 \end{gathered}$}`

Divide both sides by 5.

`\large\displaystyle\text{$\begin{gathered}\sf y=(-20)/(5) \end{gathered}$}`

Divide −20 by 5 to get −4.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf y=-4 \end{gathered}$} }\large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \ Answer \end{gathered}$}`

Verification

We let y = -4.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{7+5*-4=-13 \ \ \to \ \ [ Multiply] } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \bf{7-20 \ \ \to \ \ [Subtract] } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \bf{-13=-13 \ \ \to \ \ [ Equality \ holds ]} \end{gathered}$}`

{ Pisces04 }