algebra
posted by Molly on .
Show all steps solve the equation check for extraneous solution 998 x=2x+3

998 x=2x+3 , x ≥ 3/2
98 x=(2x+3)/9
98x = (2x+3)/9
81  72x = 2x+3
74x = 78
x = 78/74
x = 39/37
or
98x = (2x+3)/9
81  72x = 2x  3
70x = 84
x = 87/70 = 6/5
check:
if x = 6/5
LS = 998(6/5)
= 27/5
RS = 2(6/5)+3
= 27/5 , so x = 6/5
if x = 39/37
LS = 998(39/37)
= 189/37
RS = 2(39/37) + 3 = 189/37 , so x = 39/37