Question

The co ordinates of the point of intersection of the lines ax+by=7 and bx+ay=5 is (3,1).Find the values of a and b.​

Answer 1

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Answer 2

Answer:

The given point of intersection should satisfy both the lines because it lies on both the lines, from there we can get two equations and then the values a = 2 and b = 1

Step-by-step explanation:

ax by = 7

3a + b = 7 –––(1)

bx + ay = 5

3b + a = 5 –––(2)

Putting value of b from eq. 1 in 2.

3(7-3a) +a= 5

21 - 9a +a = 5

- 8a = - 16

a = 2

putting value of a in any of the eq 1 or 2

3a + b = 7

6 + b = 7

b = 1