Solve both equations 8x + 7y = 39 4x – 14y = –68

x=1/2, y=5

Step-by-step explanation:

This can be solved using substitution!

Hope this helped!

{x,y}={ 1/2, 5)

Step-by-step explanation:

[1]    8x + 7y = 39

[2]    4x - 14y = -68

Solve equation [2] for the variable  x

 [2]    4x = 14y - 68

 [2]    x = 7y/2 - 17

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

  [1]    8•(7y/2-17) + 7y = 39

  [1]    35y = 175

// Solve equation [1] for the variable  y

  [1]    35y = 175

  [1]    y = 5

// By now we know this much :

   x = 7y/2-17

   y = 5

// Use the  y  value to solve for  x

   x = (7/2)(5)-17 = 1/2

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.