If (–3, 4) is the solution of the equations 3ax + 4y = –2, 2x + by = 14 then a, b are
Answers
Answered by
48
Answer:
a = 2 and b = 5
Step-by-step explanation:
As (- 3, 4) is the solution, it must satisfy the given conditions.
For 3ax + 4y = - 2:
→ 3a(-3) + 4(4) = - 2
→ - 9a + 16 = - 2
→ 9a = 16 + 2
→ 9a = 18
→ a = (18/9) = 2
For 2x + by = 14:
→ 2(-3) + b(4) = 14
→ - 6 + 4b = 14
→4b = 14 + 6
→ b = (20/4) = 5
Answered by
6
Answer:
Step-by-step explanation:
⊕ (a)x+y=-1 ; 2x-3y =-5
⊕ 2+(-3) = -1 ; (2×2)-(3×-3) = -5
⊕ 2+(-3) = -1 ; 4 -(-9)= -5
⊕ (b)2x+5y =-11 ; 4x+10y =-22
⊕ (2×2)+(5×-3) =-11 ; (4×2)+(10×-3) =-22
⊕ 4+(-15) =-11 ; 8+(-30) =-22 [✓]
Hope it helps.
Similar questions