ath 009 Quiz 3 Page 3 3 Solve the equation by clearing fract

ath 009 Quiz 3 Page 3 3) Solve the equation by clearing fractions first. Show the check of your answer in the original equation 25 16 15 ,1

Solution

-2z - 25/16 = -15/4 + (1/2)z

-2z - (1/2)z = -15/4 + 25/16

-(5/2)z = -35/16

z = (-35/16) / (-5/2)

z = (-35/16) * (-2/5)

z = 7/8

put z = 7/8 in original equation to check answer

-2(7/8) - 25/16 = -15/4 + (1/2)(7/8)

-7/4 - 25/16 = -15/4 + 7/16

-53/16 = -53/16

both sides are equal it means answer is right