Answer:
a = - 10.5, b = 57.5
Step-by-step explanation:
Evaluate h(3) by substituting x = 3 into h(x)
h(3) = 3a + b = 26 → (1)
g(21) = 2(21) + 5 = 42 + 5 = 47
h(1) = a + b, thus
3a + b = 26 → (1)
a + b = 47 → (2)
Subtract (2) from (1) term by term to eliminate the term in b
2a = - 21 ( divide both sides by 2 )
a = - 10.5
Substitute a = - 10.5 into either of the 2 equations for value of b
Substituting in (2)
- 10.5 + b = 47 ( add 10.5 to both sides )
b = 57.5
