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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.

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Mathematics
1 month
2021-08-16T06:56:35+00:00
2021-08-16T06:56:35+00:00 1 Answers
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## Answers ( )

Given:–ToFind:–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,valueofaandbare2and3respectively.Learn more:-Subtract 5pq + 4 q2 – 3p2 from 6p2 + 2q2 – pq

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