Question

if(2,3)and (4,0)lies on the graph of the equation ax+by=1 find the value of a and b​

Answer 1

Answer:

a=1/4 and b = 1/6

Step-by-step explanation:

If (2,3) and (4,0) are on ax+by=1 then those points should satisfy the equation

therefore

$2a + 3b = 1 \: and \\ 4a + 0b = 1 \\ i.e. \: a = \frac{1}{4} \\ substitute \: this \: in \: the \: first \: equation \\ 3b = 1 - 2 \times \frac{1}{4} \\ = \frac{1}{2} \\ b = \frac{1}{6}$

Hope this helps you