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What is the solution to the equation 
(4)/(5)x=10 ?
(1) 
(46)/(5)
(2) 8
(3) 
(25)/(2)

What is the solution to the equation 45x=10 \frac{4}{5} x=10 ?\newline(11) 465 \frac{46}{5} \newline(22) 88\newline(33) 252 \frac{25}{2}

Full solution

Q. What is the solution to the equation 45x=10 \frac{4}{5} x=10 ?\newline(11) 465 \frac{46}{5} \newline(22) 88\newline(33) 252 \frac{25}{2}
  1. Isolate xx by multiplying: Multiply both sides by 54\frac{5}{4} to isolate xx.(54)×(45)x=(54)×10\left(\frac{5}{4}\right) \times \left(\frac{4}{5}\right)x = \left(\frac{5}{4}\right) \times 10x=12.5x = 12.5
  2. Check solution by substitution: Check the solution by substituting xx back into the original equation.\newline(45)(12.5)=10(\frac{4}{5})(12.5) = 10\newline10=1010 = 10

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