Question

What value of x makes the equation true? 5.47-(-x) = 9.24

F. -14.71
H. 3.77
G. -3.77
J. 14.71

Answer 1

`\bf \: Option \: H`

`\boxed{\tt x = 3.77}`

Explanation:

Given equation :-

`\sf \implies5.47 - ( - x) = 9.24`

We need to find the value of x.

Solution :-

`\sf \implies5.47-(-x) = 9.24`

As we know that "-'' and "-" equals to "+".

So rewrite "-(-x) as "+x".

`\sf \implies5.47 \bold{ + }x = 9.24`

This equation may be rewritten as,

`\sf \implies \: x + 5.47 = 9.24`

`\rm \: Subtract \: 5.47 \: from \: both \: sides :`

`\sf \implies \: x + 5.47 - 5.47 = 9.24 - 5.47`

First, simplify the LHS :-

`\sf \implies \: x+0 = 9.24 - 5.47`

`\sf \implies \: x = 9.24 - 5.47`

Now, Simplify The RHS :-

`\sf \implies \: x = 3.77`

Hence, the value of x is :

`\boxed{\tt x = 3.77}`

Option H is correct!

Let's check whether the equation is TRUE or NOT.

So for that we need to plug the value of x we got on this equation :-

`\sf \implies5.47-(-x) = 9.24`

`\rm \: Plug \: the \: value ( \: x \: = 3.77):-`

`\sf \implies5.47-(-3.77) = 9.24`

`\rm \: Simplify \: the \: LHS \: of \: this \: equation :-`

`\sf \implies \: 5.47 + 3.77 = 9.24`

Add 5.47 and 3.77 which results to :-

`\sf \implies9.24 = 9.24`

`\sf \implies \: LHS = RHS`

HENCE,this equation is TRUE.

We are done!

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I hope this helps!

Answer 2

`\\ \sf\longmapsto 5.47-(-x)=9.24`

`\\ \sf\longmapsto 5.47+x=9.24`

`\\ \sf\longmapsto x=9.24-5.47`

`\\ \sf\longmapsto x=3.77`

Option H