Question

if the point of intersection ax +by=7 and bx+ay=5 is (3,1) then find the value of a and b

Answer 1

$x = 3 \: and \: y = 1 \: putting \: \:in \: given \: equations \: we \: get \\ 3a + b = 7 \: and \: \: \: 3b + a = 5 \\on \: solving \: \\ a = 2 \\ b = 1$

Answer 2

3a+b=7 and 3b+a=5 these two are equal at some point solving by substitution method we get..we get a =8..and substring a value in any of the above Equation we get b=-17