Question

АBсDIf AC = 22x - 19, find x. Round your answer to the nearest tenth ifnecessary.AB = 4x + 31BC = 29

Answer 1

The value of x is equal to 4.4.

`x=4.4`

Step-by-step explanation:

Given;

`\begin{gathered} AC=22x-19 \\ AB=4x+31 \\ BC=29 \end{gathered}`

The length AC is the sum of length AB and BC;

`AC=AB+BC`

substiuting the given values;

`\begin{gathered} AC=AB+BC \\ 22x-19=4x+31+29 \\ 22x-19=4x+60 \end{gathered}`

let's add 19 to both sides, and then subtract 4x from both sides;

`\begin{gathered} 22x-19=4x+60 \\ 22x-19+19=4x+60+19 \\ 22x=4x+79 \\ 22x-4x=4x-4x+79 \\ 18x=79 \end{gathered}`

divide both sides by 18;

`\begin{gathered} (18x)/(18)=(79)/(18) \\ x=4.388888 \\ x=4.4 \end{gathered}`

The value of x is equal to 4.4.

`x=4.4`