Show all your work to receive full credit for this problem. Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2

Question

anonymous · Answer

2a + 3b = -1       multiply by 3
3a + 5b = -2        multiply by -2
we get
  6a +  9b = -3
-6a - 10b =  4
add the above two, to get
       - b = 1                              so    b = -1
now substitute b = -1 in first given equation ie. 2a + 3b = -1

2a + 3(-1) = -1
2a - 3 = -1
2a = -1 + 3
a = 2/2                                   so a = 1

solutions set (a, b) = (1, -1)