Answer:
a=3, b=2
Explanation:
Let's fill in the given solution:
8a - 7b = 10
8b - 7a = -5
To solve, let's eliminate b. To do that, we want equal terms in both equations.
This can be achieved by multiplying the first by 8, the second by 7:
64a - 56b = 80
56b - 49a = -35
If we add the equations, we get:
64a - 49a - 56b + 56b = 80 - 35 =>
15a = 45
a = 3
In the original equation, this gives:
8*3 - 7b = 10 =>
-7b = -14
b = 2