Question

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

Answer 1

Answer:

a = 2/3

Step-by-step explanation:

put the A,B points in given equation then equation 2- equation we get b =1 & a=2/3

Answer 2

Answer:

-1

Step-by-step explanation:

If the graph of ax+by=7 passes throught the points (3,5) and (1,4), then these are the solutions of the equation. Thus we can obtain two equations.

Considering (3,5)                                Considering (1,4)

→ 3a+5b=7   → (1)                                  → a+4b=7  → 3a+12b=21 → (2)

Subtract (1) from (2)

7b=14

b=2

Substitute b=2 in (1)

3a+10=7

3a=-3

a= -1