4x - 3y = 15
2x + 2y = 4

what is the solution of the system of equations?

System of Linear Equations entered :

  [1]    4x - 3y = 15

  [2]    2x + 2y = 4

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 [2]    2y = -2x + 4

 [2]    y = -x + 2

// Plug this in for variable  y  in equation [1]

  [1]    4x - 3•(-x +2) = 15

  [1]    7x = 21

// Solve equation [1] for the variable  x  

  [1]    7x = 21  

  [1]    x = 3  

// By now we know this much :

   x = 3

   y = -x+2

// Use the  x  value to solve for  y  

   y = -(3)+2 = -1  

Solution :

{x,y} = {3,-1}  

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

v=1788.75

step-by-step explanation:

i belive that is the answer