let:
Titanic = t
Gone with the wind = g
Combined, the two movies earned 19 academic awards
t + g = 19
Titanic won 3 more awards than gone with the wind
t = g + 3
The two equations are:
t + g = 19
t = g + 3
Plug in "g + 3" into "t"
(g + 3) + g = 19
Simplify, combine like terms
3 + g + g = 19
2g + 3 = 19
Isolate the g, subtract 3 from both sides (do the opposite of PEMDAS)
2g + 3 (-3) = 19 (-3)
2g = 19 - 3
2g = 16
2g/2 = 16/2
g = 16/2
g = 8
Gone with the Wind earned 8 awards.
Plug in 8 for g in one of the equations.
t + g = 19
t + 8 = 19
isolate the t, subtract 8 from both sides
t + 8 (-8) = 19 (-8)
t = 19 - 8
t = 11
Titanic earned 11 awards
hope this helps!