Question

If the points A(3,5) and B(1,4) lies on graph of line ax+by=7 , find the value of a

Answer 1

Step-by-step explanation:

Here ,

A (3,5) and B (1,4) are the points which lies on the line ax+by=7

so ,

the points A (3,5) and B (1,4) satisfied above equation..

so ,

for ,

A (3,5)

3a+5b=7 ................ (1)

similarly ,

B (1,4)

a+4b=7 ................... (2)

equation (1) multiplied by 4 and,

equation (2) multiplied by 5

so we get ,

12a+20b=28 ........... (3)

5a+20b=35 ........... (4)

Let ,

equation (3) -- equation (4)

so we get ,

7a = -7

so ,

a = -1