9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    If a and b are positive integers, x and y are non-negative integers and \[\mathbf{a}=\mathbf{bx}+\mathbf{y},\] then which one of the following is correct?

    A)  \[0\le y<a\]                  

    B)  \[0<y\le b\]

    C)  \[0<y>b\]

    D)  \[0\le y<b\]

    Correct Answer: C

    Solution :

    (c): Let \[a,b\ge 0\]and \[x,y\ge 0\] \[\therefore \]\[a=bx+y\Rightarrow x=\frac{a-y}{b}\Rightarrow \frac{a-y}{b}>0\] \[\Rightarrow \]\[a-y>0\,\,\,\,\,\Rightarrow a>y\] \[\therefore \]\[0<y<a\]                          


You need to login to perform this action.
You will be redirected in 3 sec spinner