4a + 3c = 156

3a + 4c = 145

Solve for a and c

c = 16, a = 27

Step-by-step explanation:

-3 (4a + 3c) = - 3 (156) Find a GCF

4 (3a + 4c) = 4 (145) Make one negative to cancel out one variable

-12a - 9c = - 468 Solve for C

12a + 16c = 580

7c = 112

c = 16

3a + 4c = 145 Substitute C into one of the original equations

3a + 4 (16) = 145 Solve for A

3a + 64 = 145

3a = 81

a = 27