Question

Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer? 3.1x + 5.2 = 9.9

Answer 1

Answer:  x = $\frac{5}{3}$ ;  or, write as:  "1$\frac{2}{3}$" ; 
                                                         
                                                            or; write as:  " 1.6667 " . 
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Explanation:
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Given:  " 3.1 x + 5.2 = 9.9 " ; 

Round the:  " 3.1 x "  to:  " 3x " ; 

Round the:  " 5.2 "   to:  " 5 " ; 

Round the:  " 9.9 " to:  " 10 " ; 
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And rewrite the equation as:
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  →    "  3x + 5 = 10 "  ; 
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Subtract "5" from each side of the equation: 

3x + 5 – 5 = 10 – 5 ; 

to get:
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→   3x = 5 ; 
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Divide each side of the equation by "3" ;
       to isolate "x" on one side of the equation; & to solve for "x" ;  

3x / 3 = 5 / 3 ; 

x = $\frac{5}{3}$ ;  or, write as:  "1$\frac{2}{3}$" ; 

or; write as:  " 1.666666666666....  " ;  →  round to:  "1.6667" . 
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Answer 2

X would equal about 1.51 or 1.52!

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