Question

Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2

Answer 1

2a + 3b = -1
3a + 5b = -2

3(2a + 3b = -1)    -->    6a + 9b = -3
2(3a + 5b = -2)    -->    6a + 10b = -4
                                 -  ___________
                                               b = -1

2a + 3(-1) = -1
2a - 3 = -1
2a = 2
a = 1

2(1) + 3(-1) = -1    -->    2 - 3 = -1
3(1) + 5(-1) = -2    -->    3 - 5 = 2

Answer:
a = 1
b = -1

Hope this helps.