How do you solve #((g + 4) / (g - 2)) = ((g - 5) / (g - 8))#?
1 Answer
Mar 2, 2016
g = 14
Explanation:
Two equal fractions. Eliminate fractions by
#color(blue) " cross multiplying "# hence: (g + 4 )(g - 8 ) = (g - 5 )(g - 2 )
distribute brackets
#rArr g^2 - 4g - 32 = g^2 - 7g + 10# collect like terms , variables on left , numbers on right.
#g^2 - g^2 - 4g + 7g = 10 + 32 # hence : 3g = 42 → g = 14
