Answer :
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?
Explanation:
It is given that,
a)
[tex]28-5.25x=2.75[/tex]Put x=4,
[tex]\begin{gathered} \Rightarrow28-5.25(4)=2.75 \\ \Rightarrow28-21=2.75 \\ \Rightarrow7=2.75,\text{ which is a contradiction.} \end{gathered}[/tex]Hence 4 is not a solution of a) 28 – 5.25 x = 2.75.
b)
[tex]4.25x+7=24[/tex]Put x=4,
[tex]\begin{gathered} \Rightarrow4.25(4)+7=24 \\ \Rightarrow17+7=24 \\ \Rightarrow24=24 \end{gathered}[/tex]Hence, 4 is the solution of b) 4.25 x + 7 = 24.
Thus, the answer is option b).