Identify the solution(s) of the system of equations, if any:

Question

3x-2y=6

5x=5-25y

 

Possible answers:

28/13, 3/13

-3/17, 32/17

32/17, -3/17

32/9, 7/3

Answer 1

3x-2y = 6

5x = 5-25y, so x = 1 - 5y

 

Since x = 1-5y, substitute 1-5y in place of x in the first equation:

 

3x - 2y = 6

3(1-5y) - 2y = 6         {Substitute 1-5y in place of x}

3 - 15y - 2y = 6

-17y = 3

 

y = -3/17

 

Find x:

 

x = 1-5y

x = 1 - 5(-3/17)

x = 17/17 + 15/17

 

x = 32/17