8a + 12b = 92

6a - 4b = 4

a = 4

b = 5

Step by Step:

Solve for

a in the first equation.

a = 23 - 3b

2 2

6a - 4b = 4

Replace all occurrences of a in 6a - 4b = 4 with

23 - 3b

2 2

a = 23 - 3b

2 2

6 (23 - 3b) - 4b = 4

2 2

Simplify 6 (23 - 3b) - 4b

2 2

a = 23 - 3b

2 2

69 - 13b = 4

Solve for b in the second equation.

a = 23 - 3b

2 2

b = 5

Replace all occurrences of b in a = 23 - 3b with 5

2 2

a = 23 - 3 (5)

2 2

b = 5

Simplify

23 - 3 (5)

2 2

a = 4

b = 5