[12.2ax+3by,=(a+2b)],[3ax+2by,=(2a+b)]

Solve the following system of equations by method of cross-multiplication: 2ax+3by=a+2b,quad 3ax+2by=2a+b

(ax)/b-(by)/a=a+b , ax-by=2ab

(ax)/(b)-(by)/(a)=a+b,ax-by=2ab

{:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

x+y=a+b,ax-by=a^(2)-b^(2)

If 2a=b, the pair of equations ax+by=2a^(2)-3b^(2),x+2y=2a-6b possess

If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B , then X=

Suppose f(x) is a function satisfying the folowing conditions: (i)f(0)=2,f(1)=1 (ii) f(x) has a minimum value at x=(5)/(2) (iii) for all xf'(x)= |{:(2ax,2ax-1,2ax+b+1),(b,b+1,-1),(2(ax+b),2ax+2b+1,2ax+b):}| The value of f(2)+f(3) is

Suppose f(x) is a function satisfying the folowing conditions: (i)f(0)=2,f(1)=1 (ii) f(x) has a minimum value at x=(5)/(2) (iii) for all x f'(x)= |{:(2ax,2ax-1,2ax+b+1),(b,b+1,-1),(2(ax+b),2ax+2b+1,2ax+b):}| The value of f(2)+f(3) is

Suppose f(x) is a function satisfying the folowing conditions: (i)f(0)=2,f(1)=1 (ii) f(x) has a minimum value at x=(5)/(2) (iii) for all x f'(x)= |{:(2ax,2ax-1,2ax+b+1),(b,b+1,-1),(2(ax+b),2ax+2b+1,2ax+b):}| The value of f(2)+f(3) is