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: x = [tex] \frac{5}{3} [/tex] ; or, write as: "1[tex] \frac{2}{3} [/tex]" ;

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 = [tex] \frac{5}{3} [/tex] ; or, write as: "1[tex] \frac{2}{3} [/tex]" ;

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