Answer:
f = 5 , g = - 3
Explanation:
11f + 14g = 13 → (1)
11f + 10g = 25 → (2)
subtract (2) from (1) term by term to eliminate f
(11f - 11f) + (14g - 10g) = 13 - 25
0 + 4g = - 12
4g = - 12 ( divide both sides by 4 )
g = - 3
substitute g = - 3 into either of the 2 equations and solve for f
substituting into (1)
11f + 14(- 3) = 13
11f - 42 = 13 ( add 42 to both sides )
11f = 55 ( divide both sides by 11 )
f = 5
solution is f = 5 , g = - 3