Question

If (5,2) is the solution of 2x+5y =20,ax-by=0,then(a,b)=
1)(2,5) 2)(5,2) 3)(-2,5) 4)(-5,2)​

Answer 1

Answer:

(1). (2, 5)

Step-by-step explanation:

2x + 5y = 20

ax - by = 0 ← this function is in proportional relation y =  ⇒ (0, 0) is another zero of the function. Thus, we have to write the equation for line passing through (5, 2) and (0, 0)

the slope of the line is m = $\frac{2-0}{5-0}$ = $\frac{2}{5}$

y - 2 = $\frac{2}{5}$(x - 5) ⇒ y = $\frac{2}{5}$ x ⇒ 5y = 2x ⇒ 2x - 5y = 0

Thus, a = 2 and b = 5

(a, b) = (2, 5)