Answer:
a = - 0.5 , b = - 2.5
Step-by-step explanation:
given the system of equations
2a - 4b = 9 ( add 4b to both sides )
2a = 9 + 4b → (1)
2b - 4a = - 3 → (2)
substitute 2a = 9 + 4b into (2), noting that - 4a = - 2 (2a)
2b - 2(9 + 4b) = - 3 ← distribute parenthesis on left side and simplify
2b - 18 - 8b = - 3
- 6b - 18 = - 3 ( add 18 to both sides )
- 6b = 15 ( divide both sides by - 6 )
b = - 2.5
substitute b = - 2.5 into either of the 2 equations and solve for a
substituting into (1)
2a = 9 + 4(- 2.5) = 9 - 10 = - 1 ( divide both sides by 2 )
a = - 0.5
The solution is a = - 0.5 , b = - 2.5
