Solve for x and y
3x + 2y = 16
7x + y = 19

  (x, y) = (2, 5)

Step-by-step explanation:

Double the second equation and subtract the first:

  2(7x +y) -(3x +2y) = 2(19) -(16)

  11x = 22

  x = 2

In the second equation, ...

  7(2) +y = 19

  y = 19 -14 = 5

The solution is (x, y) = (2, 5).

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

8/k

step-by-step explanation: