Question

2x + 3y = 7 , (a - b)X + (a + b)y = 3a + b - 2.. find the value of a and b by different solution. in hindi​

Answer 1

Answer:

2x + 3y = 7 , (a - b)X + (a + b)y = 3a + b - 2

Step-by-step explanation:

Above formulas are in the form of

a1x + b1x + c1, a2x + b2y + c2

a1 = 2, b1 = 3, c1 = -7

a2 = a - b, b2 = a + b, c2 = -(3a + b - 2)

a1 / a2 = b1 / b2 = c1 / c2

a1 / a2 = c1 / c2

2 / (a - b) = 7 /(3a + b - 2)

2(3a + b - 2) = 7(a - b)

6a + 2b - 4 = 7a - 7b

a - 9b = -4 -->(1)

a1 / a2 = b1 / b2

2 / (a - b) = 3 /(a + b)

2(a + b) = 3(a - b)

2a + 2b = 3a - 3b

a - 5b = 0 -->(2)

substract (1) from (2)

(a - 9b) - (a - 5b) = -4 + 0

-9b + 5b = -4

-4b = -4

b = 1

substitute b = 1 in (2)

a - 5(1) = 0

a = 5