Question

coordinates of the point of intersection of line X + b y is equals to 9 and b x + A Y is equal to 5 is. 3, - 1 find the value of a and b

Answer 1

Substitute the given values for x and y

Solve the linear equations

Answer 2

Answer:

a = -23  and b = -6

Step-by-step explanation:

Given: Coordinates of Point of intersection of lines = ( 3 , -1 )

           Equation of lines, x + by = 9    and   bx + ay = 5

To find: value of a & b

Point of intersection of two lines lies on both lines.

⇒ Point of intersection must satisfies the equation of lines.

Let,     x + by = 9 ...............Eqn (1)

          bx + ay = 5 .............Eqn (2)

Put, x = 3 & y = -1 in Eqn (1)

we get,

3 + b × (-1) = 9

-b = 9 - 3

-b = 6

b = -6

Now put, x = 3 , y = -1 & b = -6 in Eqn (2)

we get,

(-6) × 3 + a × (-1) = 5

-18 - a = 5

-a = 5 + 18

-a = 23

a = -23

Therefore, a = -23  and b = -6