9) The solution of the equation a x + b y + 5 = 0 and b x – a y – 12 = 0 is
(2, -3)
Find the values of a and b.​

Question

9) The solution of the equation a x + b y + 5 = 0 and b x – a y – 12 = 0 is
(2, -3)
Find the values of a and b.​

in progress 0
Eden 1 month 2021-08-16T06:56:35+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-16T06:57:46+00:00

    Given : The solution of the equation ax + by + 5 = 0 and bx – ay – 12 = 0 is (2, -3) .

    To Find :

    • The values of a and b ?

    Answer :

    putting values of x and y we get,

    → ax + by + 5 = 0

    → a * 2 + b * (-3) + 5 = 0

    → 2a – 3b + 5 = 0

    → 2a – 3b = (-5) ———– Eqn.(1)

    and,

    → bx – ay – 12 = 0

    → b * 2 – a * (-3) – 12 = 0

    → 2b + 3a – 12 = 0

    → 3a + 2b = 12 ———– Eqn.(2)

    multiply Eqn.(1) by 3 and Eqn.(2) by 2 and then subtracting the result we get,

    → 3(2a – 3b) – 2(3a + 2b) = 3(-5) – 2*12

    → 6a – 6a – 9b – 4b = – 15 – 24

    → – 13b = – 39

    → b = 3 (Ans.)

    putting value of b in Eqn.(2) ,

    → 3a + 2 * 3 = 12

    → 3a + 6 = 12

    → 3a = 12 – 6

    → 3a = 6

    a = 2 (Ans.)

    Hence, value of a and b are 2 and 3 respectively .

    Learn more :-

    Subtract 5pq + 4 q2 – 3p2 from 6p2 + 2q2 – pq

    https://brainly.in/question/37611750

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )