#1**+2 **

We have this system

2a + 3c = 61

3a + 5c = 96

Multiply the first equation through by 3 and the second through by -2 and we have

6a + 9c = 183

-6a -10c = - 192 add these

-c = - 9

c = 9

And to find a

2a + 3(9) = 61

2a + 27 = 61 subtract 27 from both sides

2a = 34 divide both sides by 2

a = 17

So (a, c) = (17, 9)

CPhill Jan 30, 2019