Question

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Answer 1

let the number be represented by x

so, if 1 is added to the number

the result would be 5 more than (5 plus) 4 times the number

let's write out an equation for this

`1+x=4x+5`

the equation above is a mathematical translation of the statement

step one

collect like terms

`\begin{gathered} 1+x=4x+5 \\ 1-5=4x-x \\ -4=3x \end{gathered}`

step two

divide both sides by the coeffiecient of x

`\begin{gathered} 3x=-4 \\ (3x)/(3)=-(4)/(3) \\ x=-(4)/(3) \end{gathered}`

from the calculation above, the unknown number is -4/3