Question

For which equation would x = 4 be a solution?28 – 5.25 x = 2.754.25 x + 7 = 244.25 x ÷ 8 = 97 + 3.25 x = 29

Answer 1

Given

The equations,

a) 28 – 5.25 x = 2.75

b) 4.25 x + 7 = 24

c) 4.25 x ÷ 8 = 9

d) 7 + 3.25 x = 29.

To find:

For which equation would x = 4 be a solution?

Step-by-step explanation:

It is given that,

a)

`28-5.25x=2.75`

Put x=4,

`\begin{gathered} \Rightarrow28-5.25(4)=2.75 \\ \Rightarrow28-21=2.75 \\ \Rightarrow7=2.75,\text{ which is a contradiction.} \end{gathered}`

Hence 4 is not a solution of a) 28 – 5.25 x = 2.75.

b)

`4.25x+7=24`

Put x=4,

`\begin{gathered} \Rightarrow4.25(4)+7=24 \\ \Rightarrow17+7=24 \\ \Rightarrow24=24 \end{gathered}`

Hence, 4 is the solution of b) 4.25 x + 7 = 24.

Thus, the answer is option b).