Solve the system by Substitution
y = 3x - 6
6x + 4y = 12

x= 0 y= 2

Step-by-step explanation:

6x+4y=12

6x+4(3x-6)=12

6x+12x-24=12

18x-24=12

    +24  +24

18x=36

/18    /18

x=2

y=3x-6

y=3(2)-6

y=6-6

y=0

about 0.75 hours

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752