The equation that becomes false when 6 is substituted is 5m+3=3m.
Let's substitute 6 into each equation to see which one becomes false:
−6(t−8)=12
Substitute t=6:
−6(6−8)=12
−6(−2)=12
12=12 (True)
5m+3=3m
Substitute m=6:
5(6)+3=3(6)
30+3=18
33 ≠ 18 (False)
t+5=11
Substitute t=6:
6+5=11
11=11 (True)
9=2x−3
Substitute x=6:
9=2(6)−3
9=12−3
9=9 (True)
So, the equation that becomes false when 6 is substituted is
5m+3=3m.
Question
The integer 6 makes which of the following equations false?
−6(t − 8) = 12
5m + 3 = 3m
t + 5 = 11
9 = 2x − 3