Pair of Linear ...

The value of $$k$$ for which the following system of equations has infinitely many solutions
$$5x+2y=k$$
$$10x+4y=3$$

Which of the following condition is true if the system of equations below is shown to be consistent and dependent?
$$a_1x + b_1y + c_1 = 0, a_2x + b_2y + c_2 = 0$$

The value of $$k$$ for which the system $$kx+3y=7$$ and $$2x-5y=3$$ has no solution is:

The ratio of income of two persons is $$9 : 7$$ and the ratio of their expenditure is $$4 : 3$$.   If each of them manages to save Rs. $$2000$$ per month, find their monthly income. 

Given that $$2y=-6$$ and $$x-3y=13$$, the value of $$x=$$________

Fill in the blank: _______ system of linear equation has no solution.

If $$\bar{x}-Z=3,$$ $$\bar{x}+Z =45$$ and $$2\bar{x}+Z=3M$$ then find $$M$$.

Determine graphically the vertices of the triangle, the equations of whose side are give below:
$$y=x,y =0$$ and $$3x+3y=10$$

The solution of $$8x+5y=9$$, $$3x+2y=4$$ lie on $$x+y=k$$, then $$k=$$