Question

Which equation has a solution of 34 for y?Select all the correct answers.A.8y=9B.y−1=−14C.4y=6D.7−y=614E.12y=9F.214+y=4

Answer 1

We want to know which of the options would give us

y = 34,

Let's try A. 8y = 9

This becomes

`\begin{gathered} 8y=9 \\ to\text{ get y, we divide both sides by 8} \\ (8y)/(8)=(9)/(8) \\ y=1(1)/(8) \end{gathered}`

We didn't get y = 34, hence A is incorrect.

Let's try B. y − 1= − 14

This becomes

`\begin{gathered} y-1=-14 \\ \text{collecting like terms } \\ y=-14+1 \\ y=-13 \end{gathered}`

B too is incorrect.

Let's try C. 4y = 6

`\begin{gathered} 4y=6 \\ \text{divide both sides by 4 we have } \\ (4y)/(4)=(6)/(4) \\ y=(3)/(2) \\ y=1(1)/(2) \end{gathered}`

C too is incorrect

Let's check D. 7 − y = 614

`\begin{gathered} 7-y=614 \\ \text{collecting like terms we have } \\ y=7-614 \\ y=-607 \end{gathered}`

D too is incorrect